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134545631546352 = 243131499143841227
BaseRepresentation
bin11110100101111001011000…
…100100110000101111110000
3122122101102210101201102201210
4132211321120210300233300
5120113343423133440402
61154053224305400120
740224413114300445
oct3645713044605760
9578342711642653
10134545631546352
1139963533457474
121310ba17939040
135a0c7a2202190
142532086bc99cc
151084c9227506c
hex7a5e58930bf0

134545631546352 has 80 divisors (see below), whose sum is σ = 374562557712000. Its totient is φ = 41371038057216.

The previous prime is 134545631546311. The next prime is 134545631546353. The reversal of 134545631546352 is 253645136545431.

134545631546352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 134545631546292 and 134545631546301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134545631546353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70985238 + ... + 72855989.

It is an arithmetic number, because the mean of its divisors is an integer number (4682031971400).

Almost surely, 2134545631546352 is an apocalyptic number.

134545631546352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134545631546352 is an abundant number, since it is smaller than the sum of its proper divisors (240016926165648).

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

134545631546352 is a wasteful number, since it uses less digits than its factorization.

134545631546352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143842750 (or 143842744 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 57.

The spelling of 134545631546352 in words is "one hundred thirty-four trillion, five hundred forty-five billion, six hundred thirty-one million, five hundred forty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1499 2998 4497 5996 8994 11992 17988 19487 23984 35976 38974 58461 71952 77948 116922 155896 233844 311792 467688 935376 143841227 287682454 431523681 575364908 863047362 1150729816 1726094724 1869935951 2301459632 3452189448 3739871902 5609807853 6904378896 7479743804 11219615706 14959487608 22439231412 29918975216 44878462824 89756925648 215617999273 431235998546 646853997819 862471997092 1293707995638 1724943994184 2587415991276 2803033990549 3449887988368 5174831982552 5606067981098 8409101971647 10349663965104 11212135962196 16818203943294 22424271924392 33636407886588 44848543848784 67272815773176 134545631546352