132046697564640 has 768 divisors, whose sum is σ = 511176677437440. Its totient is φ = 31666002001920.

The previous prime is 132046697564629. The next prime is 132046697564659. The reversal of 132046697564640 is 46465796640231.

132046697564640 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 6 + 6 + 9 + 7 + 564 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1582663725 + ... + 1582747155.

It is an arithmetic number, because the mean of its divisors is an integer number (665594632080).

Almost surely, 2^{132046697564640} is an apocalyptic number.

132046697564640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132046697564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255588338718720).

132046697564640 is an abundant number, since it is smaller than the sum of its proper divisors (379129979872800).

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

132046697564640 is a wasteful number, since it uses less digits than its factorization.

132046697564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84432 (or 84418 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 132046697564640 in words is "one hundred thirty-two trillion, forty-six billion, six hundred ninety-seven million, five hundred sixty-four thousand, six hundred forty".