132705475200 has 480 divisors, whose sum is σ = 496678612320. Its totient is φ = 34884864000.

The previous prime is 132705475183. The next prime is 132705475219. The reversal of 132705475200 is 2574507231.

132705475200 is a `hidden beast` number, since 13 + 2 + 70 + 54 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×132705475200² (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 59 ways as a sum of consecutive naturals, for example, 18399595 + ... + 18406805.

It is an arithmetic number, because the mean of its divisors is an integer number (1034747109).

Almost surely, 2^132705475200 is an apocalyptic number.

132705475200 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 132705475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248339306160).

132705475200 is an abundant number, since it is smaller than the sum of its proper divisors (363973137120).

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

132705475200 is an equidigital number, since it uses as much as digits as its factorization.

132705475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7318 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 132705475200 in words is "one hundred thirty-two billion, seven hundred five million, four hundred seventy-five thousand, two hundred".