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134456614558672 = 24753791987144299
BaseRepresentation
bin11110100100100110011110…
…101111111001101111010000
3122122001221000122112221000011
4132210212132233321233100
5120110414121311334142
61153544303242404304
740215112152343150
oct3644463657715720
9578057018487004
10134456614558672
113992980370705a
12130b6714200694
135a04286c4cac3
14252ba40696760
1510827d2371417
hex7a499ebf9bd0

134456614558672 has 160 divisors (see below), whose sum is σ = 307339329024000. Its totient is φ = 55792874801664.

The previous prime is 134456614558667. The next prime is 134456614558681. The reversal of 134456614558672 is 276855416654431.

It is a junction number, because it is equal to n+sod(n) for n = 134456614558598 and 134456614558607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931719579 + ... + 931863877.

It is an arithmetic number, because the mean of its divisors is an integer number (1920870806400).

Almost surely, 2134456614558672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134456614558672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153669664512000).

134456614558672 is an abundant number, since it is smaller than the sum of its proper divisors (172882714465328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134456614558672 is a wasteful number, since it uses less digits than its factorization.

134456614558672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146433 (or 146427 counting only the distinct ones).

The product of its digits is 580608000, while the sum is 67.

The spelling of 134456614558672 in words is "one hundred thirty-four trillion, four hundred fifty-six billion, six hundred fourteen million, five hundred fifty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 53 56 79 106 112 158 212 316 371 424 553 632 742 848 1106 1264 1484 1987 2212 2968 3974 4187 4424 5936 7948 8374 8848 13909 15896 16748 27818 29309 31792 33496 55636 58618 66992 105311 111272 117236 144299 156973 210622 222544 234472 288598 313946 421244 468944 577196 627892 737177 842488 1010093 1098811 1154392 1255784 1474354 1684976 2020186 2197622 2308784 2511568 2948708 4040372 4395244 5897416 7647847 8080744 8319569 8790488 11399621 11794832 15295694 16161488 16639138 17580976 22799242 30591388 33278276 45598484 53534929 58236983 61182776 66556552 79797347 91196968 107069858 116473966 122365552 133113104 159594694 182393936 214139716 232947932 286722113 319189388 428279432 465895864 573444226 604179913 638378776 856558864 931791728 1146888452 1208359826 1276757552 2007054791 2293776904 2416719652 4014109582 4229259391 4587553808 4833439304 8028219164 8458518782 9666878608 15196271989 16056438328 16917037564 22651046927 30392543978 32112876656 33834075128 45302093854 60785087956 67668150256 90604187708 106373903923 121570175912 158557328489 181208375416 212747807846 243140351824 317114656978 362416750832 425495615692 634229313956 850991231384 1200505487131 1268458627912 1701982462768 2401010974262 2536917255824 4802021948524 8403538409917 9604043897048 16807076819834 19208087794096 33614153639668 67228307279336 134456614558672