150900895296 has 560 divisors, whose sum is σ = 493435599360. Its totient is φ = 45416816640.

The previous prime is 150900895291. The next prime is 150900895297. The reversal of 150900895296 is 692598009051.

150900895296 is a `hidden beast` number, since 1 + 509 + 0 + 0 + 89 + 52 + 9 + 6 = 666.

It is a super-2 number, since 2×150900895296² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (150900895291) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 222896110 + ... + 222896786.

Almost surely, 2^150900895296 is an apocalyptic number.

150900895296 is a gapful number since it is divisible by the number (16) 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 150900895296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246717799680).

150900895296 is an abundant number, since it is smaller than the sum of its proper divisors (342534704064).

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

150900895296 is a wasteful number, since it uses less digits than its factorization.

150900895296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 150900895296 in words is "one hundred fifty billion, nine hundred million, eight hundred ninety-five thousand, two hundred ninety-six".