137057540 has 24 divisors (see below), whose sum is σ = 289927512. Its totient is φ = 54421760.

The previous prime is 137057533. The next prime is 137057549. The reversal of 137057540 is 45750731.

137057540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27394756 + 109662784 = 5234^2 + 10472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137057497 and 137057506.

It is not an unprimeable number, because it can be changed into a prime (137057549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22271 + ... + 27750.

It is an arithmetic number, because the mean of its divisors is an integer number (12080313).

Almost surely, 2^137057540 is an apocalyptic number.

137057540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137057540 is an abundant number, since it is smaller than the sum of its proper divisors (152869972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137057540 is a wasteful number, since it uses less digits than its factorization.

137057540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50167 (or 50165 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 137057540 is about 11707.1576396664. The cubic root of 137057540 is about 515.5858353602.

The spelling of 137057540 in words is "one hundred thirty-seven million, fifty-seven thousand, five hundred forty".