150753113911296 has 1248 divisors, whose sum is σ = 509340662055680. Its totient is φ = 42568187904000.

The previous prime is 150753113911177. The next prime is 150753113911297. The reversal of 150753113911296 is 692119311357051.

150753113911296 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 5 + 311 + 39 + 1 + 1 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is not an unprimeable number, because it can be changed into a prime (150753113911297) 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, 37213800471 + ... + 37213804521.

Almost surely, 2^{150753113911296} is an apocalyptic number.

150753113911296 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 150753113911296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254670331027840).

150753113911296 is an abundant number, since it is smaller than the sum of its proper divisors (358587548144384).

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

150753113911296 is a wasteful number, since it uses less digits than its factorization.

150753113911296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 150753113911296 in words is "one hundred fifty trillion, seven hundred fifty-three billion, one hundred thirteen million, nine hundred eleven thousand, two hundred ninety-six".