132947841600 has 252 divisors, whose sum is σ = 540032431744. Its totient is φ = 30388055040.

The previous prime is 132947841589. The next prime is 132947841659. The reversal of 132947841600 is 6148749231.

132947841600 is a `hidden beast` number, since 1 + 32 + 9 + 4 + 7 + 8 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 558664 + ... + 760263.

Almost surely, 2^132947841600 is an apocalyptic number.

132947841600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132947841600 is an abundant number, since it is smaller than the sum of its proper divisors (407084590144).

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

132947841600 is a wasteful number, since it uses less digits than its factorization.

132947841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318962 (or 1318944 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 132947841600 in words is "one hundred thirty-two billion, nine hundred forty-seven million, eight hundred forty-one thousand, six hundred".