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137534748 = 223136197149
BaseRepresentation
bin10000011001010…
…01110100011100
3100120210111012120
420030221310130
5240202102443
621351502540
73260011641
oct1014516434
9316714176
10137534748
11706a898a
123a087a50
1322656210
14143a1dc8
15c11b083
hex8329d1c

137534748 has 96 divisors (see below), whose sum is σ = 357268800. Its totient is φ = 40919040.

The previous prime is 137534729. The next prime is 137534773. The reversal of 137534748 is 847435731.

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, 922978 + ... + 923126.

It is an arithmetic number, because the mean of its divisors is an integer number (3721550).

Almost surely, 2137534748 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 137534748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178634400).

137534748 is an abundant number, since it is smaller than the sum of its proper divisors (219734052).

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

137534748 is a wasteful number, since it uses less digits than its factorization.

137534748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 137534748 is about 11727.5209656602. The cubic root of 137534748 is about 516.1835324534.

The spelling of 137534748 in words is "one hundred thirty-seven million, five hundred thirty-four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 97 122 149 156 183 194 244 291 298 366 388 447 582 596 732 793 894 1164 1261 1586 1788 1937 2379 2522 3172 3783 3874 4758 5044 5811 5917 7566 7748 9089 9516 11622 11834 14453 15132 17751 18178 23244 23668 27267 28906 35502 36356 43359 54534 57812 71004 76921 86718 109068 118157 153842 173436 187889 230763 236314 307684 354471 375778 461526 472628 563667 708942 751556 881633 923052 1127334 1417884 1763266 2254668 2644899 3526532 5289798 10579596 11461229 22922458 34383687 45844916 68767374 137534748