152067646512 has 240 divisors, whose sum is σ = 460309204992. Its totient is φ = 48544634880.

The previous prime is 152067646487. The next prime is 152067646553. The reversal of 152067646512 is 215646760251.

152067646512 is a `hidden beast` number, since 1 + 5 + 20 + 6 + 76 + 46 + 512 = 666.

It is a super-2 number, since 2×152067646512² (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, 11684713 + ... + 11697719.

Almost surely, 2^152067646512 is an apocalyptic number.

152067646512 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 152067646512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230154602496).

152067646512 is an abundant number, since it is smaller than the sum of its proper divisors (308241558480).

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

152067646512 is a wasteful number, since it uses less digits than its factorization.

152067646512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13158 (or 13140 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 152067646512 in words is "one hundred fifty-two billion, sixty-seven million, six hundred forty-six thousand, five hundred twelve".