132719607820800 has 5040 divisors, whose sum is σ = 666188504296128. Its totient is φ = 25433417318400.

The previous prime is 132719607820763. The next prime is 132719607820819. The reversal of 132719607820800 is 8028706917231.

It is a happy number.

132719607820800 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 1 + 9 + 607 + 8 + 20 + 8 + 0 + 0 = 666.

132719607820800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×132719607820800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 121426905054 + ... + 121426906146.

Almost surely, 2^{132719607820800} is an apocalyptic number.

132719607820800 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 132719607820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333094252148064).

132719607820800 is an abundant number, since it is smaller than the sum of its proper divisors (533468896475328).

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

132719607820800 is a wasteful number, since it uses less digits than its factorization.

132719607820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 132719607820800 in words is "one hundred thirty-two trillion, seven hundred nineteen billion, six hundred seven million, eight hundred twenty thousand, eight hundred".