132842891462400 has 2592 divisors, whose sum is σ = 609200758656000. Its totient is φ = 28152334909440.

The previous prime is 132842891462363. The next prime is 132842891462441. The reversal of 132842891462400 is 4264198248231.

132842891462400 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 4 + 2 + 8 + 9 + 1 + 4 + 624 + 0 + 0 = 666.

It is a super-2 number, since 2×132842891462400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7561200816 + ... + 7561218384.

Almost surely, 2^{132842891462400} is an apocalyptic number.

132842891462400 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 132842891462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304600379328000).

132842891462400 is an abundant number, since it is smaller than the sum of its proper divisors (476357867193600).

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

132842891462400 is a wasteful number, since it uses less digits than its factorization.

132842891462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17684 (or 17652 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 132842891462400 in words is "one hundred thirty-two trillion, eight hundred forty-two billion, eight hundred ninety-one million, four hundred sixty-two thousand, four hundred".