150712892352 has 672 divisors, whose sum is σ = 535608702720. Its totient is φ = 41478635520.

The previous prime is 150712892311. The next prime is 150712892353. The reversal of 150712892352 is 253298217051.

150712892352 is a `hidden beast` number, since 1 + 507 + 1 + 2 + 8 + 92 + 3 + 52 = 666.

It is a super-2 number, since 2×150712892352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150712892298 and 150712892307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150712892353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84337603 + ... + 84339389.

It is an arithmetic number, because the mean of its divisors is an integer number (797036760).

Almost surely, 2^150712892352 is an apocalyptic number.

150712892352 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 150712892352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267804351360).

150712892352 is an abundant number, since it is smaller than the sum of its proper divisors (384895810368).

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

150712892352 is a wasteful number, since it uses less digits than its factorization.

150712892352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 150712892352 in words is "one hundred fifty billion, seven hundred twelve million, eight hundred ninety-two thousand, three hundred fifty-two".