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137973732936 = 233132297572551
BaseRepresentation
bin1000000001111111100…
…0000001011001001000
3111012010121220211212220
42000133320001121020
54230032233423221
6143214555534040
712653055244104
oct2003770013110
9435117824786
10137973732936
1153572636766
12228a715a320
131001ab4bac0
14696c496904
1538c7dc10c6
hex201fe01648

137973732936 has 128 divisors (see below), whose sum is σ = 373729171200. Its totient is φ = 42195686400.

The previous prime is 137973732881. The next prime is 137973732937. The reversal of 137973732936 is 639237379731.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 137973732936.

It is not an unprimeable number, because it can be changed into a prime (137973732937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54084861 + ... + 54087411.

It is an arithmetic number, because the mean of its divisors is an integer number (2919759150).

Almost surely, 2137973732936 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 137973732936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186864585600).

137973732936 is an abundant number, since it is smaller than the sum of its proper divisors (235755438264).

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

137973732936 is a wasteful number, since it uses less digits than its factorization.

137973732936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3555 counting only the distinct ones).

The product of its digits is 27005076, while the sum is 60.

The spelling of 137973732936 in words is "one hundred thirty-seven billion, nine hundred seventy-three million, seven hundred thirty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 229 312 458 687 757 916 1374 1514 1832 2271 2551 2748 2977 3028 4542 5102 5496 5954 6056 7653 8931 9084 9841 10204 11908 15306 17862 18168 19682 20408 23816 29523 30612 33163 35724 39364 59046 61224 66326 71448 78728 99489 118092 132652 173353 198978 236184 265304 346706 397956 520059 584179 693412 795912 1040118 1168358 1386824 1752537 1931107 2080236 2253589 2336716 3505074 3862214 4160472 4507178 4673432 5793321 6760767 7010148 7594327 7724428 9014356 11586642 13521534 14020296 15188654 15448856 18028712 22782981 23173284 25104391 27043068 30377308 45565962 46346568 50208782 54086136 60754616 75313173 91131924 100417564 150626346 182263848 200835128 301252692 442223503 602505384 884447006 1326670509 1768894012 2653341018 3537788024 5306682036 5748905539 10613364072 11497811078 17246716617 22995622156 34493433234 45991244312 68986866468 137973732936