150038064 has 180 divisors, whose sum is σ = 471671200. Its totient is φ = 44478720.

The previous prime is 150038059. The next prime is 150038087. The reversal of 150038064 is 460830051.

It is a super-2 number, since 2×150038064² = 45022841297736192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1376442 + ... + 1376550.

Almost surely, 2^150038064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150038064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235835600).

150038064 is an abundant number, since it is smaller than the sum of its proper divisors (321633136).

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

150038064 is a wasteful number, since it uses less digits than its factorization.

150038064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 150038064 is about 12249.0025716382. The cubic root of 150038064 is about 531.3742241633.

The spelling of 150038064 in words is "one hundred fifty million, thirty-eight thousand, sixty-four".