132555514400 has 216 divisors, whose sum is σ = 345784587120. Its totient is φ = 49608970240.

The previous prime is 132555514397. The next prime is 132555514423. The reversal of 132555514400 is 4415555231.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41383199 + ... + 41386401.

It is an arithmetic number, because the mean of its divisors is an integer number (1600854570).

Almost surely, 2^132555514400 is an apocalyptic number.

132555514400 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 132555514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172892293560).

132555514400 is an abundant number, since it is smaller than the sum of its proper divisors (213229072720).

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

132555514400 is a wasteful number, since it uses less digits than its factorization.

132555514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 132555514400 in words is "one hundred thirty-two billion, five hundred fifty-five million, five hundred fourteen thousand, four hundred".