132420408192000 has 2112 divisors, whose sum is σ = 535284633461760. Its totient is φ = 31282495488000.

The previous prime is 132420408191993. The next prime is 132420408192109. The reversal of 132420408192000 is 291804024231.

132420408192000 is a `hidden beast` number, since 1 + 3 + 2 + 42 + 0 + 408 + 1 + 9 + 200 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 62140030935 + ... + 62140033065.

Almost surely, 2^{132420408192000} is an apocalyptic number.

132420408192000 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 132420408192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267642316730880).

132420408192000 is an abundant number, since it is smaller than the sum of its proper divisors (402864225269760).

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

132420408192000 is a wasteful number, since it uses less digits than its factorization.

132420408192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 132420408192000 in words is "one hundred thirty-two trillion, four hundred twenty billion, four hundred eight million, one hundred ninety-two thousand".