150227977591296 has 800 divisors, whose sum is σ = 509976920870208. Its totient is φ = 43625677455360.

The previous prime is 150227977591249. The next prime is 150227977591301. The reversal of 150227977591296 is 692195779722051.

It is a happy number.

150227977591296 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 2 + 7 + 9 + 7 + 7 + 591 + 29 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1039589320 + ... + 1039733816.

Almost surely, 2^{150227977591296} is an apocalyptic number.

150227977591296 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 150227977591296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254988460435104).

150227977591296 is an abundant number, since it is smaller than the sum of its proper divisors (359748943278912).

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

150227977591296 is a wasteful number, since it uses less digits than its factorization.

150227977591296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144634 (or 144609 counting only the distinct ones).

The product of its (nonzero) digits is 300056400, while the sum is 72.

The spelling of 150227977591296 in words is "one hundred fifty trillion, two hundred twenty-seven billion, nine hundred seventy-seven million, five hundred ninety-one thousand, two hundred ninety-six".