132053961600 has 576 divisors, whose sum is σ = 516529774800. Its totient is φ = 31857868800.

The previous prime is 132053961587. The next prime is 132053961619. The reversal of 132053961600 is 6169350231.

132053961600 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 5 + 39 + 616 + 0 + 0 = 666.

132053961600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73813506 + ... + 73815294.

Almost surely, 2^132053961600 is an apocalyptic number.

132053961600 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 132053961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258264887400).

132053961600 is an abundant number, since it is smaller than the sum of its proper divisors (384475813200).

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

132053961600 is a wasteful number, since it uses less digits than its factorization.

132053961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 132053961600 in words is "one hundred thirty-two billion, fifty-three million, nine hundred sixty-one thousand, six hundred".