131838640 has 40 divisors (see below), whose sum is σ = 317100240. Its totient is φ = 50916096.

The previous prime is 131838631. The next prime is 131838653. The reversal of 131838640 is 46838131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 131838596 and 131838605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26094 + ... + 30733.

It is an arithmetic number, because the mean of its divisors is an integer number (7927506).

Almost surely, 2^131838640 is an apocalyptic number.

131838640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131838640 is an abundant number, since it is smaller than the sum of its proper divisors (185261600).

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

131838640 is a wasteful number, since it uses less digits than its factorization.

131838640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56869 (or 56863 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 131838640 is about 11482.1008530669. The cubic root of 131838640 is about 508.9567807594.

The spelling of 131838640 in words is "one hundred thirty-one million, eight hundred thirty-eight thousand, six hundred forty".