150638976 has 96 divisors (see below), whose sum is σ = 443706120. Its totient is φ = 49029120.

The previous prime is 150638911. The next prime is 150638993. The reversal of 150638976 is 679836051.

It is a happy number.

150638976 is a `hidden beast` number, since 1 + 5 + 0 + 638 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48016 + ... + 51056.

Almost surely, 2^150638976 is an apocalyptic number.

150638976 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 150638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221853060).

150638976 is an abundant number, since it is smaller than the sum of its proper divisors (293067144).

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

150638976 is a wasteful number, since it uses less digits than its factorization.

150638976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 150638976 is about 12273.5070782560. The cubic root of 150638976 is about 532.0826750741.

The spelling of 150638976 in words is "one hundred fifty million, six hundred thirty-eight thousand, nine hundred seventy-six".