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137501399 = 7231131691
BaseRepresentation
bin10000011001000…
…01101011010111
3100120201210110102
420030201223113
5240200021044
621351044315
73256512500
oct1014415327
9316653412
10137501399
1170685922
123a07069b
1322643c99
1414393ba7
15c11124e
hex8321ad7

137501399 has 24 divisors (see below), whose sum is σ = 166611456. Its totient is φ = 113022000.

The previous prime is 137501393. The next prime is 137501411. The reversal of 137501399 is 993105731.

It is not a de Polignac number, because 137501399 - 216 = 137435863 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137501393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198644 + ... + 199334.

It is an arithmetic number, because the mean of its divisors is an integer number (6942144).

Almost surely, 2137501399 is an apocalyptic number.

137501399 is a deficient number, since it is larger than the sum of its proper divisors (29110057).

137501399 is a wasteful number, since it uses less digits than its factorization.

137501399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 38.

The square root of 137501399 is about 11726.0990529673. The cubic root of 137501399 is about 516.1418082191.

The spelling of 137501399 in words is "one hundred thirty-seven million, five hundred one thousand, three hundred ninety-nine".

Divisors: 1 7 31 49 131 217 691 917 1519 4061 4837 6419 21421 28427 33859 90521 149947 198989 633647 1049629 2806151 4435529 19643057 137501399