150263672832 has 1092 divisors, whose sum is σ = 571544389920. Its totient is φ = 39128334336.

The previous prime is 150263672803. The next prime is 150263672833. The reversal of 150263672832 is 238276362051.

150263672832 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 6 + 367 + 283 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1092).

It is not an unprimeable number, because it can be changed into a prime (150263672833) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1902071769 + ... + 1902071847.

Almost surely, 2^150263672832 is an apocalyptic number.

150263672832 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 150263672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285772194960).

150263672832 is an abundant number, since it is smaller than the sum of its proper divisors (421280717088).

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

150263672832 is an frugal number, since it uses more digits than its factorization.

150263672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 150263672832 in words is "one hundred fifty billion, two hundred sixty-three million, six hundred seventy-two thousand, eight hundred thirty-two".