132879902400 has 1008 divisors, whose sum is σ = 564252099840. Its totient is φ = 29017497600.

The previous prime is 132879902339. The next prime is 132879902431. The reversal of 132879902400 is 4209978231.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 382939027 + ... + 382939373.

Almost surely, 2^132879902400 is an apocalyptic number.

132879902400 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 132879902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282126049920).

132879902400 is an abundant number, since it is smaller than the sum of its proper divisors (431372197440).

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

132879902400 is a wasteful number, since it uses less digits than its factorization.

132879902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 132879902400 in words is "one hundred thirty-two billion, eight hundred seventy-nine million, nine hundred two thousand, four hundred".