132544353344400 has 180 divisors, whose sum is σ = 459970933199700. Its totient is φ = 35344760601600.

The previous prime is 132544353344399. The next prime is 132544353344437. The reversal of 132544353344400 is 4443353445231.

132544353344400 is a `hidden beast` number, since 1 + 3 + 2 + 544 + 35 + 3 + 34 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11395323484416 + 121149029859984 = 3375696^2 + 11006772^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×132544353344400² (a number of 29 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 456871390 + ... + 457161410.

Almost surely, 2^{132544353344400} is an apocalyptic number.

132544353344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132544353344400 is an abundant number, since it is smaller than the sum of its proper divisors (327426579855300).

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

132544353344400 is a wasteful number, since it uses less digits than its factorization.

132544353344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416994 (or 416980 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

The spelling of 132544353344400 in words is "one hundred thirty-two trillion, five hundred forty-four billion, three hundred fifty-three million, three hundred forty-four thousand, four hundred".