137338929 has 32 divisors (see below), whose sum is σ = 250423040. Its totient is φ = 72441216.

The previous prime is 137338919. The next prime is 137338939. The reversal of 137338929 is 929833731.

137338929 = 409³ + 410³.

It is an interprime number because it is at equal distance from previous prime (137338919) and next prime (137338939).

It is not a de Polignac number, because 137338929 - 2⁴ = 137338913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137338909) 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, 25492 + ... + 30405.

It is an arithmetic number, because the mean of its divisors is an integer number (7825720).

Almost surely, 2^137338929 is an apocalyptic number.

It is an amenable number.

137338929 is a deficient number, since it is larger than the sum of its proper divisors (113084111).

137338929 is a wasteful number, since it uses less digits than its factorization.

137338929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55926 (or 55920 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 137338929 is about 11719.1692964988. The cubic root of 137338929 is about 515.9384391134.

The spelling of 137338929 in words is "one hundred thirty-seven million, three hundred thirty-eight thousand, nine hundred twenty-nine".