150507676512 has 216 divisors, whose sum is σ = 462385287000. Its totient is φ = 46416273408.

The previous prime is 150507676511. The next prime is 150507676537. The reversal of 150507676512 is 215676705051.

150507676512 is a `hidden beast` number, since 1 + 505 + 0 + 76 + 7 + 65 + 12 = 666.

It is a super-2 number, since 2×150507676512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150507676511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4895364 + ... + 4926012.

It is an arithmetic number, because the mean of its divisors is an integer number (2140672625).

Almost surely, 2^150507676512 is an apocalyptic number.

150507676512 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 150507676512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231192643500).

150507676512 is an abundant number, since it is smaller than the sum of its proper divisors (311877610488).

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

150507676512 is a wasteful number, since it uses less digits than its factorization.

150507676512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30758 (or 30730 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 150507676512 in words is "one hundred fifty billion, five hundred seven million, six hundred seventy-six thousand, five hundred twelve".