132181257600 has 1152 divisors, whose sum is σ = 582455577600. Its totient is φ = 27874344960.

The previous prime is 132181257599. The next prime is 132181257613. The reversal of 132181257600 is 6752181231.

132181257600 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 81 + 2 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134466709 + ... + 134467691.

It is an arithmetic number, because the mean of its divisors is an integer number (505603800).

Almost surely, 2^132181257600 is an apocalyptic number.

132181257600 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 132181257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291227788800).

132181257600 is an abundant number, since it is smaller than the sum of its proper divisors (450274320000).

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

132181257600 is a wasteful number, since it uses less digits than its factorization.

132181257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 132181257600 in words is "one hundred thirty-two billion, one hundred eighty-one million, two hundred fifty-seven thousand, six hundred".