132368256000 has 880 divisors, whose sum is σ = 523019832192. Its totient is φ = 33177600000.

The previous prime is 132368255989. The next prime is 132368256011. The reversal of 132368256000 is 652863231.

It is a happy number.

132368256000 is a `hidden beast` number, since 1 + 3 + 23 + 6 + 8 + 25 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132368255989) and next prime (132368256011).

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 79 ways as a sum of consecutive naturals, for example, 176255625 + ... + 176256375.

Almost surely, 2^132368256000 is an apocalyptic number.

132368256000 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 132368256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261509916096).

132368256000 is an abundant number, since it is smaller than the sum of its proper divisors (390651576192).

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

132368256000 is an equidigital number, since it uses as much as digits as its factorization.

132368256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 132368256000 in words is "one hundred thirty-two billion, three hundred sixty-eight million, two hundred fifty-six thousand".