150380971776 has 648 divisors, whose sum is σ = 520502752224. Its totient is φ = 41617981440.

The previous prime is 150380971751. The next prime is 150380971841. The reversal of 150380971776 is 677179083051.

150380971776 is a `hidden beast` number, since 1 + 5 + 0 + 380 + 97 + 177 + 6 = 666.

It is a super-2 number, since 2×150380971776² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 585139840 + ... + 585140096.

It is an arithmetic number, because the mean of its divisors is an integer number (803244988).

Almost surely, 2^150380971776 is an apocalyptic number.

150380971776 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 150380971776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260251376112).

150380971776 is an abundant number, since it is smaller than the sum of its proper divisors (370121780448).

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

150380971776 is a wasteful number, since it uses less digits than its factorization.

150380971776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 150380971776 in words is "one hundred fifty billion, three hundred eighty million, nine hundred seventy-one thousand, seven hundred seventy-six".