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134767000620 = 223257214149957
BaseRepresentation
bin111110110000010111…
…1010011110000101100
3110212212010212222010100
41331200233103300230
54202000323004440
6141524444311100
712510436414230
oct1754057236054
9425763788110
10134767000620
115217750526a
1222151242490
13c929693b65
1467466385c0
15378b5e3230
hex1f60bd3c2c

134767000620 has 144 divisors (see below), whose sum is σ = 467419837248. Its totient is φ = 30788881920.

The previous prime is 134767000619. The next prime is 134767000651. The reversal of 134767000620 is 26000767431.

It is a super-2 number, since 2×1347670006202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2672682 + ... + 2722638.

It is an arithmetic number, because the mean of its divisors is an integer number (3245971092).

Almost surely, 2134767000620 is an apocalyptic number.

134767000620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134767000620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233709918624).

134767000620 is an abundant number, since it is smaller than the sum of its proper divisors (332652836628).

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

134767000620 is a wasteful number, since it uses less digits than its factorization.

134767000620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52120 (or 52115 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 134767000620 in words is "one hundred thirty-four billion, seven hundred sixty-seven million, six hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2141 4282 6423 8564 10705 12846 14987 19269 21410 25692 29974 32115 38538 42820 44961 49957 59948 64230 74935 77076 89922 96345 99914 128460 134883 149870 149871 179844 192690 199828 224805 249785 269766 299740 299742 349699 385380 449610 449613 499570 539532 599484 674415 699398 749355 899220 899226 999140 1049097 1348830 1398796 1498710 1748495 1798452 2098194 2248065 2697660 2997420 3147291 3496990 4196388 4496130 5245485 6294582 6993980 8992260 10490970 12589164 15736455 20981940 31472910 62945820 106957937 213915874 320873811 427831748 534789685 641747622 748705559 962621433 1069579370 1283495244 1497411118 1604369055 1925242866 2139158740 2246116677 2994822236 3208738110 3743527795 3850485732 4492233354 4813107165 6417476220 6738350031 7487055590 8984466708 9626214330 11230583385 13476700062 14974111180 19252428660 22461166770 26953400124 33691750155 44922333540 67383500310 134767000620