132543590400 has 1404 divisors, whose sum is σ = 550919189808. Its totient is φ = 30364139520.

The previous prime is 132543590383. The next prime is 132543590419. The reversal of 132543590400 is 4095345231.

132543590400 is a `hidden beast` number, since 1 + 3 + 25 + 4 + 3 + 590 + 40 + 0 = 666.

It is a super-2 number, since 2×132543590400² (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 107 ways as a sum of consecutive naturals, for example, 3582259182 + ... + 3582259218.

Almost surely, 2^132543590400 is an apocalyptic number.

132543590400 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 132543590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275459594904).

132543590400 is an abundant number, since it is smaller than the sum of its proper divisors (418375599408).

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

132543590400 is a wasteful number, since it uses less digits than its factorization.

132543590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 132543590400 in words is "one hundred thirty-two billion, five hundred forty-three million, five hundred ninety thousand, four hundred".