150972649632 has 1152 divisors, whose sum is σ = 587528847360. Its totient is φ = 37085921280.

The previous prime is 150972649621. The next prime is 150972649661. The reversal of 150972649632 is 236946279051.

150972649632 is a `hidden beast` number, since 1 + 50 + 9 + 72 + 6 + 496 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 545027478 + ... + 545027754.

It is an arithmetic number, because the mean of its divisors is an integer number (510007680).

Almost surely, 2^150972649632 is an apocalyptic number.

150972649632 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 150972649632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293764423680).

150972649632 is an abundant number, since it is smaller than the sum of its proper divisors (436556197728).

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

150972649632 is a wasteful number, since it uses less digits than its factorization.

150972649632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 150972649632 in words is "one hundred fifty billion, nine hundred seventy-two million, six hundred forty-nine thousand, six hundred thirty-two".