150632904312 has 256 divisors, whose sum is σ = 469744934400. Its totient is φ = 44323200000.

The previous prime is 150632904277. The next prime is 150632904319. The reversal of 150632904312 is 213409236051.

150632904312 is a `hidden beast` number, since 1 + 5 + 0 + 632 + 9 + 0 + 4 + 3 + 12 = 666.

150632904312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150632904312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150632904319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52833687 + ... + 52836537.

It is an arithmetic number, because the mean of its divisors is an integer number (1834941150).

Almost surely, 2^150632904312 is an apocalyptic number.

150632904312 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 150632904312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234872467200).

150632904312 is an abundant number, since it is smaller than the sum of its proper divisors (319112030088).

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

150632904312 is a wasteful number, since it uses less digits than its factorization.

150632904312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 150632904312 in words is "one hundred fifty billion, six hundred thirty-two million, nine hundred four thousand, three hundred twelve".