132492096000 has 720 divisors, whose sum is σ = 524814394104. Its totient is φ = 32102400000.

The previous prime is 132492095993. The next prime is 132492096029. The reversal of 132492096000 is 690294231.

132492096000 is a `hidden beast` number, since 1 + 3 + 2 + 49 + 2 + 0 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13616089344 + 118876006656 = 116688^2 + 344784^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 69695050 + ... + 69696950.

Almost surely, 2^132492096000 is an apocalyptic number.

132492096000 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 132492096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262407197052).

132492096000 is an abundant number, since it is smaller than the sum of its proper divisors (392322298104).

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

132492096000 is a wasteful number, since it uses less digits than its factorization.

132492096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 132492096000 in words is "one hundred thirty-two billion, four hundred ninety-two million, ninety-six thousand".