152306848512 has 432 divisors, whose sum is σ = 546122624320. Its totient is φ = 39749419008.

The previous prime is 152306848427. The next prime is 152306848523. The reversal of 152306848512 is 215848603251.

152306848512 is a `hidden beast` number, since 1 + 5 + 2 + 30 + 68 + 48 + 512 = 666.

It is a super-2 number, since 2×152306848512² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20333664 + ... + 20341152.

Almost surely, 2^152306848512 is an apocalyptic number.

152306848512 is a gapful number since it is divisible by the number (12) 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 152306848512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273061312160).

152306848512 is an abundant number, since it is smaller than the sum of its proper divisors (393815775808).

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

152306848512 is a wasteful number, since it uses less digits than its factorization.

152306848512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 152306848512 in words is "one hundred fifty-two billion, three hundred six million, eight hundred forty-eight thousand, five hundred twelve".