133640507664 has 80 divisors (see below), whose sum is σ = 383769336000. Its totient is φ = 44526910464.

The previous prime is 133640507633. The next prime is 133640507683. The reversal of 133640507664 is 466705046331.

133640507664 is a `hidden beast` number, since 13 + 36 + 40 + 507 + 6 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913887 + ... + 1049985.

It is an arithmetic number, because the mean of its divisors is an integer number (4797116700).

Almost surely, 2^133640507664 is an apocalyptic number.

It is an amenable number.

133640507664 is an abundant number, since it is smaller than the sum of its proper divisors (250128828336).

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

133640507664 is a wasteful number, since it uses less digits than its factorization.

133640507664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138389 (or 138377 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 133640507664 in words is "one hundred thirty-three billion, six hundred forty million, five hundred seven thousand, six hundred sixty-four".