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137190417 = 37131633083
BaseRepresentation
bin10000010110101…
…01110000010001
3100120010222212120
420023111300101
5240110043132
621340244453
73254046030
oct1013256021
9316128776
10137190417
1170493211
1239b40729
1322565580
1414312717
15c09e02c
hex82d5c11

137190417 has 32 divisors (see below), whose sum is σ = 226587648. Its totient is φ = 71896896.

The previous prime is 137190397. The next prime is 137190419. The reversal of 137190417 is 714091731.

It is not a de Polignac number, because 137190417 - 211 = 137188369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137190419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42958 + ... + 46040.

It is an arithmetic number, because the mean of its divisors is an integer number (7080864).

Almost surely, 2137190417 is an apocalyptic number.

It is an amenable number.

137190417 is a deficient number, since it is larger than the sum of its proper divisors (89397231).

137190417 is a wasteful number, since it uses less digits than its factorization.

137190417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269.

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 137190417 is about 11712.8312973422. The cubic root of 137190417 is about 515.7524013417.

The spelling of 137190417 in words is "one hundred thirty-seven million, one hundred ninety thousand, four hundred seventeen".

Divisors: 1 3 7 13 21 39 91 163 273 489 1141 2119 3083 3423 6357 9249 14833 21581 40079 44499 64743 120237 280553 502529 841659 1507587 3517703 6532877 10553109 19598631 45730139 137190417