137040057 has 48 divisors (see below), whose sum is σ = 254791680. Its totient is φ = 68882400.

The previous prime is 137040041. The next prime is 137040061. The reversal of 137040057 is 750040731.

It is not a de Polignac number, because 137040057 - 2⁴ = 137040041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137040057.

It is not an unprimeable number, because it can be changed into a prime (137040157) 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 47 ways as a sum of consecutive naturals, for example, 18294 + ... + 24672.

It is an arithmetic number, because the mean of its divisors is an integer number (5308160).

Almost surely, 2^137040057 is an apocalyptic number.

It is an amenable number.

137040057 is a deficient number, since it is larger than the sum of its proper divisors (117751623).

137040057 is a wasteful number, since it uses less digits than its factorization.

137040057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 137040057 is about 11706.4109358932. The cubic root of 137040057 is about 515.5639117932.

Adding to 137040057 its reverse (750040731), we get a palindrome (887080788).

The spelling of 137040057 in words is "one hundred thirty-seven million, forty thousand, fifty-seven".