133631564625 has 48 divisors (see below), whose sum is σ = 259423439184. Its totient is φ = 65787840000.

The previous prime is 133631564603. The next prime is 133631564659. The reversal of 133631564625 is 526465136331.

133631564625 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 3 + 15 + 6 + 4 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 104812767504 + 28818797121 = 323748^2 + 169761^2 .

It is not a de Polignac number, because 133631564625 - 2⁹ = 133631564113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4553976 + ... + 4583225.

It is an arithmetic number, because the mean of its divisors is an integer number (5404654983).

Almost surely, 2^133631564625 is an apocalyptic number.

133631564625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133631564625 is a deficient number, since it is larger than the sum of its proper divisors (125791874559).

133631564625 is a wasteful number, since it uses less digits than its factorization.

133631564625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9137235 (or 9137222 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 133631564625 in words is "one hundred thirty-three billion, six hundred thirty-one million, five hundred sixty-four thousand, six hundred twenty-five".