131409864 has 160 divisors (see below), whose sum is σ = 397267200. Its totient is φ = 40435200.

The previous prime is 131409823. The next prime is 131409869. The reversal of 131409864 is 468904131.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131409869) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 870189 + ... + 870339.

It is an arithmetic number, because the mean of its divisors is an integer number (2482920).

Almost surely, 2^131409864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131409864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198633600).

131409864 is an abundant number, since it is smaller than the sum of its proper divisors (265857336).

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

131409864 is a wasteful number, since it uses less digits than its factorization.

131409864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 131409864 is about 11463.4141511157. The cubic root of 131409864 is about 508.4044250896.

The spelling of 131409864 in words is "one hundred thirty-one million, four hundred nine thousand, eight hundred sixty-four".