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137640925 = 5217378753
BaseRepresentation
bin10000011010000…
…11101111011101
3100120222212212001
420031003233131
5240214002200
621354042301
73260633332
oct1015035735
9316885761
10137640925
1170770734
123a119391
1322692646
14143cc989
15c13c76a
hex8343bdd

137640925 has 24 divisors (see below), whose sum is σ = 185619816. Its totient is φ = 100823040.

The previous prime is 137640887. The next prime is 137640929. The reversal of 137640925 is 529046731.

It can be written as a sum of positive squares in 12 ways, for example, as 352836 + 137288089 = 594^2 + 11717^2 .

It is a de Polignac number, because none of the positive numbers 2k-137640925 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137640929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11349 + ... + 20101.

It is an arithmetic number, because the mean of its divisors is an integer number (7734159).

Almost surely, 2137640925 is an apocalyptic number.

It is an amenable number.

137640925 is a deficient number, since it is larger than the sum of its proper divisors (47978891).

137640925 is a wasteful number, since it uses less digits than its factorization.

137640925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8817 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 137640925 is about 11732.0469228520. The cubic root of 137640925 is about 516.3163297334.

The spelling of 137640925 in words is "one hundred thirty-seven million, six hundred forty thousand, nine hundred twenty-five".

Divisors: 1 5 17 25 37 85 185 425 629 925 3145 8753 15725 43765 148801 218825 323861 744005 1619305 3720025 5505637 8096525 27528185 137640925