132624456125200 has 240 divisors, whose sum is σ = 363671605558800. Its totient is φ = 46044530933760.

The previous prime is 132624456125173. The next prime is 132624456125219. The reversal of 132624456125200 is 2521654426231.

It can be written as a sum of positive squares in 24 ways, for example, as 78244568595216 + 54379887529984 = 8845596^2 + 7374272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92016502 + ... + 93446698.

It is an arithmetic number, because the mean of its divisors is an integer number (1515298356495).

Almost surely, 2^{132624456125200} is an apocalyptic number.

132624456125200 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 132624456125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181835802779400).

132624456125200 is an abundant number, since it is smaller than the sum of its proper divisors (231047149433600).

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

132624456125200 is a wasteful number, since it uses less digits than its factorization.

132624456125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431294 (or 1431283 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 132624456125200 in words is "one hundred thirty-two trillion, six hundred twenty-four billion, four hundred fifty-six million, one hundred twenty-five thousand, two hundred".