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137807988 = 223194911231
BaseRepresentation
bin10000011011011…
…00100001110100
3100121022101000120
420031230201310
5240234323423
621401411540
73262230363
oct1015544164
9317271016
10137807988
11708751aa
123a199bb0
13227206b6
14144337da
15c171ee3
hex836c874

137807988 has 48 divisors (see below), whose sum is σ = 339440640. Its totient is φ = 43394400.

The previous prime is 137807987. The next prime is 137808031. The reversal of 137807988 is 889708731.

It is a self number, because there is not a number n which added to its sum of digits gives 137807988.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137807987) 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, 111333 + ... + 112563.

It is an arithmetic number, because the mean of its divisors is an integer number (7071680).

Almost surely, 2137807988 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 137807988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169720320).

137807988 is an abundant number, since it is smaller than the sum of its proper divisors (201632652).

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

137807988 is a wasteful number, since it uses less digits than its factorization.

137807988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The square root of 137807988 is about 11739.1647062302. The cubic root of 137807988 is about 516.5251399158.

The spelling of 137807988 in words is "one hundred thirty-seven million, eight hundred seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 491 982 1231 1473 1964 2462 2946 3693 4924 5892 7386 9329 14772 18658 23389 27987 37316 46778 55974 70167 93556 111948 140334 280668 604421 1208842 1813263 2417684 3626526 7253052 11483999 22967998 34451997 45935996 68903994 137807988