132426347212800 has 1248 divisors, whose sum is σ = 497169680056320. Its totient is φ = 34544517120000.

The previous prime is 132426347212799. The next prime is 132426347212849. The reversal of 132426347212800 is 8212743624231.

132426347212800 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 2 + 6 + 347 + 21 + 280 + 0 = 666.

It is a super-2 number, since 2×132426347212800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32212682745 + ... + 32212686855.

Almost surely, 2^{132426347212800} is an apocalyptic number.

132426347212800 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 132426347212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248584840028160).

132426347212800 is an abundant number, since it is smaller than the sum of its proper divisors (364743332843520).

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

132426347212800 is a wasteful number, since it uses less digits than its factorization.

132426347212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 132426347212800 in words is "one hundred thirty-two trillion, four hundred twenty-six billion, three hundred forty-seven million, two hundred twelve thousand, eight hundred".