150652320 has 192 divisors, whose sum is σ = 584236800. Its totient is φ = 31776768.

The previous prime is 150652319. The next prime is 150652331. The reversal of 150652320 is 23256051.

It is a super-2 number, since 2×150652320² = 45392243042764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 41956 + ... + 45404.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2^150652320 is an apocalyptic number.

150652320 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 150652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292118400).

150652320 is an abundant number, since it is smaller than the sum of its proper divisors (433584480).

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

150652320 is a wasteful number, since it uses less digits than its factorization.

150652320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 150652320 is about 12274.0506761216. The cubic root of 150652320 is about 532.0983857084.

The spelling of 150652320 in words is "one hundred fifty million, six hundred fifty-two thousand, three hundred twenty".