152480311619328 has 864 divisors, whose sum is σ = 602330514912000. Its totient is φ = 37520770129920.

The previous prime is 152480311619281. The next prime is 152480311619359. The reversal of 152480311619328 is 823916113084251.

152480311619328 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 8 + 0 + 3 + 11 + 619 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69708738 + ... + 71862846.

Almost surely, 2^{152480311619328} is an apocalyptic number.

152480311619328 is a gapful number since it is divisible by the number (18) 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 152480311619328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301165257456000).

152480311619328 is an abundant number, since it is smaller than the sum of its proper divisors (449850203292672).

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

152480311619328 is a wasteful number, since it uses less digits than its factorization.

152480311619328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154178 (or 2154151 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

It can be divided in two parts, 1524803 and 11619328, that added together give a palindrome (13144131).

The spelling of 152480311619328 in words is "one hundred fifty-two trillion, four hundred eighty billion, three hundred eleven million, six hundred nineteen thousand, three hundred twenty-eight".