150578064 has 120 divisors (see below), whose sum is σ = 518702912. Its totient is φ = 39709440.

The previous prime is 150578053. The next prime is 150578093. The reversal of 150578064 is 460875051.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7359 + ... + 18849.

Almost surely, 2^150578064 is an apocalyptic number.

150578064 is a gapful number since it is divisible by the number (14) 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 150578064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259351456).

150578064 is an abundant number, since it is smaller than the sum of its proper divisors (368124848).

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

150578064 is a wasteful number, since it uses less digits than its factorization.

150578064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525 (or 11516 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 150578064 is about 12271.0253850279. The cubic root of 150578064 is about 532.0109481984.

The spelling of 150578064 in words is "one hundred fifty million, five hundred seventy-eight thousand, sixty-four".