132362496000 has 1152 divisors, whose sum is σ = 566045625600. Its totient is φ = 29107814400.

The previous prime is 132362495999. The next prime is 132362496017. The reversal of 132362496000 is 694263231.

132362496000 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 6 + 2 + 49 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 467711859 + ... + 467712141.

It is an arithmetic number, because the mean of its divisors is an integer number (491359050).

Almost surely, 2^132362496000 is an apocalyptic number.

132362496000 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 132362496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283022812800).

132362496000 is an abundant number, since it is smaller than the sum of its proper divisors (433683129600).

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

132362496000 is a wasteful number, since it uses less digits than its factorization.

132362496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 132362496000 in words is "one hundred thirty-two billion, three hundred sixty-two million, four hundred ninety-six thousand".