132997624320 has 480 divisors, whose sum is σ = 470690123904. Its totient is φ = 32011386880.

The previous prime is 132997624283. The next prime is 132997624327. The reversal of 132997624320 is 23426799231.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 132997624320.

It is not an unprimeable number, because it can be changed into a prime (132997624327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155189332 + ... + 155190188.

Almost surely, 2^132997624320 is an apocalyptic number.

132997624320 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 132997624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235345061952).

132997624320 is an abundant number, since it is smaller than the sum of its proper divisors (337692499584).

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

132997624320 is a wasteful number, since it uses less digits than its factorization.

132997624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 132997624320 in words is "one hundred thirty-two billion, nine hundred ninety-seven million, six hundred twenty-four thousand, three hundred twenty".