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137645365 = 5113133743
BaseRepresentation
bin10000011010001…
…00110100110101
3100121000002221111
420031010310311
5240214122430
621354115021
73260652304
oct1015046465
9317002844
10137645365
1170774000
123a11ba71
1322694680
14143d043b
15c13dc2a
hex8344d35

137645365 has 64 divisors (see below), whose sum is σ = 205615872. Its totient is φ = 87816960.

The previous prime is 137645359. The next prime is 137645371. The reversal of 137645365 is 563546731.

It is an interprime number because it is at equal distance from previous prime (137645359) and next prime (137645371).

It is not a de Polignac number, because 137645365 - 215 = 137612597 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3201034 + ... + 3201076.

It is an arithmetic number, because the mean of its divisors is an integer number (3212748).

Almost surely, 2137645365 is an apocalyptic number.

It is an amenable number.

137645365 is a deficient number, since it is larger than the sum of its proper divisors (67970507).

137645365 is a wasteful number, since it uses less digits than its factorization.

137645365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its digits is 226800, while the sum is 40.

The square root of 137645365 is about 11732.2361466176. The cubic root of 137645365 is about 516.3218814249.

The spelling of 137645365 in words is "one hundred thirty-seven million, six hundred forty-five thousand, three hundred sixty-five".

Divisors: 1 5 11 13 37 43 55 65 121 143 185 215 407 473 481 559 605 715 1331 1573 1591 2035 2365 2405 2795 4477 5203 5291 6149 6655 7865 7955 17303 17501 20683 22385 26015 26455 30745 49247 57233 58201 67639 86515 87505 103415 192511 227513 246235 286165 291005 338195 640211 744029 962555 1137565 2117621 2502643 3201055 3720145 10588105 12513215 27529073 137645365