137531331 has 64 divisors (see below), whose sum is σ = 243394560. Its totient is φ = 75116160.

The previous prime is 137531327. The next prime is 137531333. The reversal of 137531331 is 133135731.

It is not a de Polignac number, because 137531331 - 2² = 137531327 is a prime.

It is a super-2 number, since 2×137531331² = 37829734013263122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 137531295 and 137531304.

It is not an unprimeable number, because it can be changed into a prime (137531333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 496365 + ... + 496641.

It is an arithmetic number, because the mean of its divisors is an integer number (3803040).

Almost surely, 2^137531331 is an apocalyptic number.

137531331 is a deficient number, since it is larger than the sum of its proper divisors (105863229).

137531331 is a wasteful number, since it uses less digits than its factorization.

137531331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 137531331 is about 11727.3752817926. The cubic root of 137531331 is about 516.1792576216.

The spelling of 137531331 in words is "one hundred thirty-seven million, five hundred thirty-one thousand, three hundred thirty-one".