132599867904 has 720 divisors, whose sum is σ = 482445163200. Its totient is φ = 34247245824.

The previous prime is 132599867891. The next prime is 132599867909. The reversal of 132599867904 is 409768995231.

132599867904 is a `hidden beast` number, since 1 + 32 + 599 + 8 + 6 + 7 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (132599867909) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 324204852 + ... + 324205260.

It is a 1-persistent number, because it is pandigital, but 2⋅132599867904 = 265199735808 is not.

Almost surely, 2^132599867904 is an apocalyptic number.

132599867904 is a gapful number since it is divisible by the number (14) 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 132599867904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241222581600).

132599867904 is an abundant number, since it is smaller than the sum of its proper divisors (349845295296).

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

132599867904 is a wasteful number, since it uses less digits than its factorization.

132599867904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 132599867904 in words is "one hundred thirty-two billion, five hundred ninety-nine million, eight hundred sixty-seven thousand, nine hundred four".