150329520 has 480 divisors, whose sum is σ = 617460480. Its totient is φ = 33592320.

The previous prime is 150329497. The next prime is 150329537. The reversal of 150329520 is 25923051.

150329520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062942 + ... + 4062978.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^150329520 is an apocalyptic number.

150329520 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 150329520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308730240).

150329520 is an abundant number, since it is smaller than the sum of its proper divisors (467130960).

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

150329520 is a wasteful number, since it uses less digits than its factorization.

150329520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 150329520 is about 12260.8939315207. The cubic root of 150329520 is about 531.7180747562.

The spelling of 150329520 in words is "one hundred fifty million, three hundred twenty-nine thousand, five hundred twenty".