132158505600 has 576 divisors, whose sum is σ = 531076366080. Its totient is φ = 31002624000.

The previous prime is 132158505547. The next prime is 132158505607. The reversal of 132158505600 is 6505851231.

It is a happy number.

132158505600 is a `hidden beast` number, since 1 + 3 + 2 + 15 + 85 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (132158505607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9814072 + ... + 9827528.

It is an arithmetic number, because the mean of its divisors is an integer number (922007580).

Almost surely, 2^132158505600 is an apocalyptic number.

132158505600 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 132158505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265538183040).

132158505600 is an abundant number, since it is smaller than the sum of its proper divisors (398917860480).

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

132158505600 is a wasteful number, since it uses less digits than its factorization.

132158505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13529 (or 13509 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 132158505600 in words is "one hundred thirty-two billion, one hundred fifty-eight million, five hundred five thousand, six hundred".