150664320 has 128 divisors (see below), whose sum is σ = 533664000. Its totient is φ = 40172544.

The previous prime is 150664253. The next prime is 150664321. The reversal of 150664320 is 23466051.

150664320 is a `hidden beast` number, since 15 + 0 + 6 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (150664321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12921 + ... + 21639.

It is an arithmetic number, because the mean of its divisors is an integer number (4169250).

Almost surely, 2^150664320 is an apocalyptic number.

150664320 is a gapful number since it is divisible by the number (10) 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 150664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266832000).

150664320 is an abundant number, since it is smaller than the sum of its proper divisors (382999680).

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

150664320 is an equidigital number, since it uses as much as digits as its factorization.

150664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8747 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 150664320 is about 12274.5395025638. The cubic root of 150664320 is about 532.1125131844.

The spelling of 150664320 in words is "one hundred fifty million, six hundred sixty-four thousand, three hundred twenty".