133657510464 has 63 divisors (see below), whose sum is σ = 383130272473. Its totient is φ = 44549578752.

The previous prime is 133657510417. The next prime is 133657510489. The reversal of 133657510464 is 464015756331.

The square root of 133657510464 is 365592.

It is a perfect power (a square), and thus also a powerful number.

133657510464 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 575 + 10 + 4 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20632449600 + 113025060864 = 143640^2 + 336192^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8766592 + ... + 8781824.

Almost surely, 2^133657510464 is an apocalyptic number.

133657510464 is the 365592-nd square number.

It is an amenable number.

133657510464 is an abundant number, since it is smaller than the sum of its proper divisors (249472762009).

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

133657510464 is an frugal number, since it uses more digits than its factorization.

133657510464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30484 (or 15238 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 133657510464 in words is "one hundred thirty-three billion, six hundred fifty-seven million, five hundred ten thousand, four hundred sixty-four".