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137517429 = 3752112569
BaseRepresentation
bin10000011001001…
…01100101110101
3100120202121110010
420030211211311
5240201024204
621351250433
73256610310
oct1014454565
9316677403
10137517429
1170696975
123a079a19
132264b37a
1414399977
15c115d89
hex8325975

137517429 has 16 divisors (see below), whose sum is σ = 209969280. Its totient is φ = 78424320.

The previous prime is 137517407. The next prime is 137517431. The reversal of 137517429 is 924715731.

It is not a de Polignac number, because 137517429 - 212 = 137513333 is a prime.

It is a super-2 number, since 2×1375174292 = 37822086557540082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137517439) 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 15 ways as a sum of consecutive naturals, for example, 4657 + ... + 17225.

It is an arithmetic number, because the mean of its divisors is an integer number (13123080).

Almost surely, 2137517429 is an apocalyptic number.

It is an amenable number.

137517429 is a deficient number, since it is larger than the sum of its proper divisors (72451851).

137517429 is a wasteful number, since it uses less digits than its factorization.

137517429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13100.

The product of its digits is 52920, while the sum is 39.

The square root of 137517429 is about 11726.7825510666. The cubic root of 137517429 is about 516.1618648191.

The spelling of 137517429 in words is "one hundred thirty-seven million, five hundred seventeen thousand, four hundred twenty-nine".

Divisors: 1 3 7 21 521 1563 3647 10941 12569 37707 87983 263949 6548449 19645347 45839143 137517429