132155285270400 has 1536 divisors, whose sum is σ = 579933910425600. Its totient is φ = 28753035264000.

The previous prime is 132155285270353. The next prime is 132155285270401. The reversal of 132155285270400 is 4072582551231.

132155285270400 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 528 + 52 + 70 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×132155285270400² (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 not an unprimeable number, because it can be changed into a prime (132155285270401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1143619024 + ... + 1143734576.

It is an arithmetic number, because the mean of its divisors is an integer number (377561139600).

Almost surely, 2^{132155285270400} is an apocalyptic number.

132155285270400 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 132155285270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289966955212800).

132155285270400 is an abundant number, since it is smaller than the sum of its proper divisors (447778625155200).

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

132155285270400 is a wasteful number, since it uses less digits than its factorization.

132155285270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115685 (or 115662 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 132155285270400 in words is "one hundred thirty-two trillion, one hundred fifty-five billion, two hundred eighty-five million, two hundred seventy thousand, four hundred".