150779664 has 240 divisors, whose sum is σ = 534340800. Its totient is φ = 40449024.

The previous prime is 150779653. The next prime is 150779677. The reversal of 150779664 is 466977051.

It is a happy number.

150779664 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 47 ways as a sum of consecutive naturals, for example, 359647 + ... + 360065.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^150779664 is an apocalyptic number.

150779664 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 150779664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267170400).

150779664 is an abundant number, since it is smaller than the sum of its proper divisors (383561136).

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

150779664 is a wasteful number, since it uses less digits than its factorization.

150779664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 150779664 is about 12279.2371098534. The cubic root of 150779664 is about 532.2482682409.

The spelling of 150779664 in words is "one hundred fifty million, seven hundred seventy-nine thousand, six hundred sixty-four".