132904551600 has 960 divisors, whose sum is σ = 544679424000. Its totient is φ = 30556569600.

The previous prime is 132904551587. The next prime is 132904551667. The reversal of 132904551600 is 6155409231.

132904551600 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 0 + 45 + 5 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108139786 + ... + 108141014.

It is an arithmetic number, because the mean of its divisors is an integer number (567374400).

Almost surely, 2^132904551600 is an apocalyptic number.

132904551600 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 132904551600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272339712000).

132904551600 is an abundant number, since it is smaller than the sum of its proper divisors (411774872400).

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

132904551600 is a wasteful number, since it uses less digits than its factorization.

132904551600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 132904551600 in words is "one hundred thirty-two billion, nine hundred four million, five hundred fifty-one thousand, six hundred".