152990517312 has 112 divisors (see below), whose sum is σ = 460733851200. Its totient is φ = 49752990720.

The previous prime is 152990517307. The next prime is 152990517313. The reversal of 152990517312 is 213715099251.

152990517312 is a `hidden beast` number, since 1 + 529 + 9 + 0 + 51 + 73 + 1 + 2 = 666.

It is a super-3 number, since 3×152990517312³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (152990517313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008862 + ... + 1150557.

It is an arithmetic number, because the mean of its divisors is an integer number (4113695100).

Almost surely, 2^152990517312 is an apocalyptic number.

152990517312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152990517312 is an abundant number, since it is smaller than the sum of its proper divisors (307743333888).

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

152990517312 is a wasteful number, since it uses less digits than its factorization.

152990517312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159481 (or 2159465 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 152990517312 in words is "one hundred fifty-two billion, nine hundred ninety million, five hundred seventeen thousand, three hundred twelve".