152335572480 has 1920 divisors, whose sum is σ = 707380439040. Its totient is φ = 30743691264.

The previous prime is 152335572479. The next prime is 152335572491. The reversal of 152335572480 is 84275533251.

152335572480 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 35 + 572 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×152335572480² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 6623285749 + ... + 6623285771.

It is an arithmetic number, because the mean of its divisors is an integer number (368427312).

Almost surely, 2^152335572480 is an apocalyptic number.

152335572480 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 152335572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353690219520).

152335572480 is an abundant number, since it is smaller than the sum of its proper divisors (555044866560).

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

152335572480 is an frugal number, since it uses more digits than its factorization.

152335572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 152335572480 in words is "one hundred fifty-two billion, three hundred thirty-five million, five hundred seventy-two thousand, four hundred eighty".