132519142800 has 600 divisors, whose sum is σ = 526245014592. Its totient is φ = 31667328000.

The previous prime is 132519142787. The next prime is 132519142823. The reversal of 132519142800 is 8241915231.

132519142800 is a `hidden beast` number, since 132 + 519 + 1 + 4 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×132519142800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25301782 + ... + 25307018.

Almost surely, 2^132519142800 is an apocalyptic number.

132519142800 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 132519142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263122507296).

132519142800 is an abundant number, since it is smaller than the sum of its proper divisors (393725871792).

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

132519142800 is a wasteful number, since it uses less digits than its factorization.

132519142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 132519142800 in words is "one hundred thirty-two billion, five hundred nineteen million, one hundred forty-two thousand, eight hundred".