132575473800 has 576 divisors, whose sum is σ = 557652700800. Its totient is φ = 27421286400.

The previous prime is 132575473799. The next prime is 132575473817. The reversal of 132575473800 is 8374575231.

132575473800 is a `hidden beast` number, since 1 + 3 + 2 + 575 + 4 + 73 + 8 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 31737312 + ... + 31741488.

It is an arithmetic number, because the mean of its divisors is an integer number (968147050).

Almost surely, 2^132575473800 is an apocalyptic number.

132575473800 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 132575473800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278826350400).

132575473800 is an abundant number, since it is smaller than the sum of its proper divisors (425077227000).

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

132575473800 is a wasteful number, since it uses less digits than its factorization.

132575473800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 132575473800 in words is "one hundred thirty-two billion, five hundred seventy-five million, four hundred seventy-three thousand, eight hundred".