150476832 has 192 divisors, whose sum is σ = 487710720. Its totient is φ = 44755200.

The previous prime is 150476831. The next prime is 150476881. The reversal of 150476832 is 238674051.

150476832 is a `hidden beast` number, since 1 + 504 + 76 + 83 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150476831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674673 + ... + 674895.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^150476832 is an apocalyptic number.

150476832 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 150476832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

150476832 is an abundant number, since it is smaller than the sum of its proper divisors (337233888).

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

150476832 is a wasteful number, since it uses less digits than its factorization.

150476832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 150476832 is about 12266.8998528561. The cubic root of 150476832 is about 531.8916997403.

The spelling of 150476832 in words is "one hundred fifty million, four hundred seventy-six thousand, eight hundred thirty-two".