131937645 has 48 divisors (see below), whose sum is σ = 249030720. Its totient is φ = 59463936.

The previous prime is 131937623. The next prime is 131937647. The reversal of 131937645 is 546739131.

It is not a de Polignac number, because 131937645 - 2⁸ = 131937389 is a prime.

It is a super-3 number, since 3×131937645³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131937647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52426 + ... + 54884.

It is an arithmetic number, because the mean of its divisors is an integer number (5188140).

Almost surely, 2^131937645 is an apocalyptic number.

131937645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131937645 is a deficient number, since it is larger than the sum of its proper divisors (117093075).

131937645 is a wasteful number, since it uses less digits than its factorization.

131937645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2547 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 131937645 is about 11486.4113194679. The cubic root of 131937645 is about 509.0841502417.

The spelling of 131937645 in words is "one hundred thirty-one million, nine hundred thirty-seven thousand, six hundred forty-five".