152084130232320 has 1344 divisors, whose sum is σ = 642773590149600. Its totient is φ = 34032573480960.

The previous prime is 152084130232301. The next prime is 152084130232343. The reversal of 152084130232320 is 23232031480251.

152084130232320 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 8 + 4 + 1 + 302 + 323 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1067418046 + ... + 1067560514.

Almost surely, 2^{152084130232320} is an apocalyptic number.

152084130232320 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 152084130232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321386795074800).

152084130232320 is an abundant number, since it is smaller than the sum of its proper divisors (490689459917280).

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

152084130232320 is a wasteful number, since it uses less digits than its factorization.

152084130232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142538 (or 142503 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 152084130232320 in words is "one hundred fifty-two trillion, eighty-four billion, one hundred thirty million, two hundred thirty-two thousand, three hundred twenty".