132149808201600 has 576 divisors, whose sum is σ = 558863193383040. Its totient is φ = 30205669201920.

The previous prime is 132149808201599. The next prime is 132149808201643. The reversal of 132149808201600 is 6102808941231.

132149808201600 is a `hidden beast` number, since 1 + 3 + 2 + 14 + 9 + 8 + 0 + 8 + 20 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6695782 + ... + 17582181.

Almost surely, 2^{132149808201600} is an apocalyptic number.

132149808201600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132149808201600 is an abundant number, since it is smaller than the sum of its proper divisors (426713385181440).

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

132149808201600 is an equidigital number, since it uses as much as digits as its factorization.

132149808201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24278009 (or 24277980 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 132149808201600 in words is "one hundred thirty-two trillion, one hundred forty-nine billion, eight hundred eight million, two hundred one thousand, six hundred".