150766512 has 160 divisors (see below), whose sum is σ = 440971776. Its totient is φ = 44083200.

The previous prime is 150766507. The next prime is 150766513. The reversal of 150766512 is 215667051.

150766512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150766512² = 45461082281292288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (150766513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1816423 + ... + 1816505.

Almost surely, 2^150766512 is an apocalyptic number.

150766512 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 150766512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220485888).

150766512 is an abundant number, since it is smaller than the sum of its proper divisors (290205264).

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

150766512 is a wasteful number, since it uses less digits than its factorization.

150766512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 150766512 is about 12278.7015600185. The cubic root of 150766512 is about 532.2327923857.

The spelling of 150766512 in words is "one hundred fifty million, seven hundred sixty-six thousand, five hundred twelve".