132428445990120 has 768 divisors, whose sum is σ = 521271987425280. Its totient is φ = 28515616358400.

The previous prime is 132428445990119. The next prime is 132428445990131. The reversal of 132428445990120 is 21099544824231.

132428445990120 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 2 + 8 + 44 + 599 + 0 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×132428445990120² (a number of 29 digits) contains 22 as substring.

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, 1463689204 + ... + 1463779676.

It is an arithmetic number, because the mean of its divisors is an integer number (678739566960).

Almost surely, 2^{132428445990120} is an apocalyptic number.

132428445990120 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 132428445990120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260635993712640).

132428445990120 is an abundant number, since it is smaller than the sum of its proper divisors (388843541435160).

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

132428445990120 is a wasteful number, since it uses less digits than its factorization.

132428445990120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91026 (or 91019 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 132428445990120 in words is "one hundred thirty-two trillion, four hundred twenty-eight billion, four hundred forty-five million, nine hundred ninety thousand, one hundred twenty".