131826564 has 36 divisors (see below), whose sum is σ = 333615100. Its totient is φ = 43891200.

The previous prime is 131826511. The next prime is 131826571. The reversal of 131826564 is 465628131.

It is a happy number.

131826564 is a `hidden beast` number, since 13 + 1 + 82 + 6 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4588164 + 127238400 = 2142^2 + 11280^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41712 + ... + 44760.

Almost surely, 2^131826564 is an apocalyptic number.

It is an amenable number.

131826564 is an abundant number, since it is smaller than the sum of its proper divisors (201788536).

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

131826564 is a wasteful number, since it uses less digits than its factorization.

131826564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4255 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 131826564 is about 11481.5749790697. The cubic root of 131826564 is about 508.9412406776.

The spelling of 131826564 in words is "one hundred thirty-one million, eight hundred twenty-six thousand, five hundred sixty-four".