150538752 has 240 divisors, whose sum is σ = 536215680. Its totient is φ = 39591936.

The previous prime is 150538741. The next prime is 150538753. The reversal of 150538752 is 257835051.

150538752 is a `hidden beast` number, since 1 + 50 + 538 + 75 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (150538753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419149 + ... + 419507.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^150538752 is an apocalyptic number.

150538752 is a gapful number since it is divisible by the number (12) 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 150538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

150538752 is an abundant number, since it is smaller than the sum of its proper divisors (385676928).

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

150538752 is a wasteful number, since it uses less digits than its factorization.

150538752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 150538752 is about 12269.4234583374. The cubic root of 150538752 is about 531.9646461139.

The spelling of 150538752 in words is "one hundred fifty million, five hundred thirty-eight thousand, seven hundred fifty-two".