132137740800 has 480 divisors, whose sum is σ = 522335943360. Its totient is φ = 32525107200.

The previous prime is 132137740789. The next prime is 132137740837. The reversal of 132137740800 is 8047731231.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4478095 + ... + 4507505.

It is an arithmetic number, because the mean of its divisors is an integer number (1088199882).

Almost surely, 2^132137740800 is an apocalyptic number.

132137740800 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 132137740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261167971680).

132137740800 is an abundant number, since it is smaller than the sum of its proper divisors (390198202560).

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

132137740800 is a wasteful number, since it uses less digits than its factorization.

132137740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29461 (or 29434 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 132137740800 in words is "one hundred thirty-two billion, one hundred thirty-seven million, seven hundred forty thousand, eight hundred".