150754968 has 288 divisors, whose sum is σ = 541522800. Its totient is φ = 37449216.

The previous prime is 150754871. The next prime is 150754979. The reversal of 150754968 is 869457051.

150754968 is a `hidden beast` number, since 1 + 507 + 54 + 96 + 8 = 666.

150754968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 871330 + ... + 871502.

Almost surely, 2^150754968 is an apocalyptic number.

150754968 is a gapful number since it is divisible by the number (18) 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 150754968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270761400).

150754968 is an abundant number, since it is smaller than the sum of its proper divisors (390767832).

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

150754968 is a wasteful number, since it uses less digits than its factorization.

150754968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 150754968 is about 12278.2314687417. The cubic root of 150754968 is about 532.2192079097.

The spelling of 150754968 in words is "one hundred fifty million, seven hundred fifty-four thousand, nine hundred sixty-eight".