132921734400 has 1728 divisors, whose sum is σ = 613160755200. Its totient is φ = 27431239680.

The previous prime is 132921734339. The next prime is 132921734419. The reversal of 132921734400 is 4437129231.

It is a happy number.

132921734400 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 217 + 34 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 1242259147 + ... + 1242259253.

It is an arithmetic number, because the mean of its divisors is an integer number (354838400).

Almost surely, 2^132921734400 is an apocalyptic number.

132921734400 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 132921734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306580377600).

132921734400 is an abundant number, since it is smaller than the sum of its proper divisors (480239020800).

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

132921734400 is a wasteful number, since it uses less digits than its factorization.

132921734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 132921734400 in words is "one hundred thirty-two billion, nine hundred twenty-one million, seven hundred thirty-four thousand, four hundred".