132015804134400 has 2640 divisors, whose sum is σ = 527772965536960. Its totient is φ = 32506616217600.

The previous prime is 132015804134371. The next prime is 132015804134411. The reversal of 132015804134400 is 4431408510231.

132015804134400 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 580 + 4 + 1 + 34 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 391738291032 + ... + 391738291368.

Almost surely, 2^{132015804134400} is an apocalyptic number.

132015804134400 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 132015804134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263886482768480).

132015804134400 is an abundant number, since it is smaller than the sum of its proper divisors (395757161402560).

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

132015804134400 is a wasteful number, since it uses less digits than its factorization.

132015804134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 132015804134400 in words is "one hundred thirty-two trillion, fifteen billion, eight hundred four million, one hundred thirty-four thousand, four hundred".