132019128102400 has 1440 divisors, whose sum is σ = 424114110959616. Its totient is φ = 39843201024000.

The previous prime is 132019128102371. The next prime is 132019128102403. The reversal of 132019128102400 is 4201821910231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132019128102403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49426853065 + ... + 49426855735.

Almost surely, 2^{132019128102400} is an apocalyptic number.

132019128102400 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 132019128102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212057055479808).

132019128102400 is an abundant number, since it is smaller than the sum of its proper divisors (292094982857216).

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

132019128102400 is a wasteful number, since it uses less digits than its factorization.

132019128102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 132019128102400 in words is "one hundred thirty-two trillion, nineteen billion, one hundred twenty-eight million, one hundred two thousand, four hundred".