137437113 has 16 divisors (see below), whose sum is σ = 201782016. Its totient is φ = 82514640.

The previous prime is 137437049. The next prime is 137437141. The reversal of 137437113 is 311734731.

137437113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137437113 - 2⁶ = 137437049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137437193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15931 + ... + 22992.

It is an arithmetic number, because the mean of its divisors is an integer number (12611376).

Almost surely, 2^137437113 is an apocalyptic number.

It is an amenable number.

137437113 is a deficient number, since it is larger than the sum of its proper divisors (64344903).

137437113 is a wasteful number, since it uses less digits than its factorization.

137437113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39044.

The product of its digits is 5292, while the sum is 30.

The square root of 137437113 is about 11723.3575821946. The cubic root of 137437113 is about 516.0613584567.

It can be divided in two parts, 137437 and 113, that added together give a triangular number (137550 = T₅₂₄).

The spelling of 137437113 in words is "one hundred thirty-seven million, four hundred thirty-seven thousand, one hundred thirteen".