132830524905120 has 720 divisors, whose sum is σ = 556919353267200. Its totient is φ = 29715271842816.

The previous prime is 132830524905109. The next prime is 132830524905137. The reversal of 132830524905120 is 21509425038231.

132830524905120 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 30 + 5 + 2 + 490 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27621681 + ... + 32072079.

It is an arithmetic number, because the mean of its divisors is an integer number (773499101760).

Almost surely, 2^{132830524905120} is an apocalyptic number.

132830524905120 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 132830524905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278459676633600).

132830524905120 is an abundant number, since it is smaller than the sum of its proper divisors (424088828362080).

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

132830524905120 is a wasteful number, since it uses less digits than its factorization.

132830524905120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450487 (or 4450463 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 132830524905120 in words is "one hundred thirty-two trillion, eight hundred thirty billion, five hundred twenty-four million, nine hundred five thousand, one hundred twenty".