132999820800 has 960 divisors, whose sum is σ = 565828927488. Its totient is φ = 26726400000.

The previous prime is 132999820729. The next prime is 132999820813. The reversal of 132999820800 is 8028999231.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×132999820800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91660075 + ... + 91661525.

Almost surely, 2^132999820800 is an apocalyptic number.

132999820800 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 132999820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282914463744).

132999820800 is an abundant number, since it is smaller than the sum of its proper divisors (432829106688).

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

132999820800 is a wasteful number, since it uses less digits than its factorization.

132999820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 132999820800 in words is "one hundred thirty-two billion, nine hundred ninety-nine million, eight hundred twenty thousand, eight hundred".