132164552534400 has 4320 divisors, whose sum is σ = 567264204876600. Its totient is φ = 30184582348800.

The previous prime is 132164552534389. The next prime is 132164552534401. The reversal of 132164552534400 is 4435255461231.

132164552534400 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 6 + 4 + 552 + 53 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132164552534401) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 2240077161571 + ... + 2240077161629.

Almost surely, 2^{132164552534400} is an apocalyptic number.

132164552534400 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 132164552534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283632102438300).

132164552534400 is an abundant number, since it is smaller than the sum of its proper divisors (435099652342200).

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

132164552534400 is a wasteful number, since it uses less digits than its factorization.

132164552534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 132164552534400 in words is "one hundred thirty-two trillion, one hundred sixty-four billion, five hundred fifty-two million, five hundred thirty-four thousand, four hundred".