132153027271200 has 2016 divisors, whose sum is σ = 546464477534976. Its totient is φ = 30949634580480.

The previous prime is 132153027271193. The next prime is 132153027271207. The reversal of 132153027271200 is 2172720351231.

132153027271200 is a `hidden beast` number, since 1 + 3 + 2 + 15 + 302 + 72 + 71 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (132153027271193) and next prime (132153027271207).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132153027271207) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 34352227677 + ... + 34352231523.

It is an arithmetic number, because the mean of its divisors is an integer number (271063728936).

Almost surely, 2^{132153027271200} is an apocalyptic number.

132153027271200 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 132153027271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273232238767488).

132153027271200 is an abundant number, since it is smaller than the sum of its proper divisors (414311450263776).

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

132153027271200 is a wasteful number, since it uses less digits than its factorization.

132153027271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 132153027271200 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, twenty-seven million, two hundred seventy-one thousand, two hundred".