137532031 has 12 divisors (see below), whose sum is σ = 170201712. Its totient is φ = 108815616.

The previous prime is 137532001. The next prime is 137532047. The reversal of 137532031 is 130235731.

137532031 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 137532031 - 2²³ = 129143423 is a prime.

It is a super-2 number, since 2×137532031² = 37830119101969922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137531987 and 137532005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137532001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56946 + ... + 59311.

It is an arithmetic number, because the mean of its divisors is an integer number (14183476).

Almost surely, 2^137532031 is an apocalyptic number.

137532031 is a deficient number, since it is larger than the sum of its proper divisors (32669681).

137532031 is a wasteful number, since it uses less digits than its factorization.

137532031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116290 (or 116277 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 137532031 is about 11727.4051264549. The cubic root of 137532031 is about 516.1801333611.

Adding to 137532031 its reverse (130235731), we get a palindrome (267767762).

The spelling of 137532031 in words is "one hundred thirty-seven million, five hundred thirty-two thousand, thirty-one".