150788736 has 256 divisors, whose sum is σ = 532684800. Its totient is φ = 41057280.

The previous prime is 150788717. The next prime is 150788753. The reversal of 150788736 is 637887051.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 150788691 and 150788700.

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, 556281 + ... + 556551.

It is an arithmetic number, because the mean of its divisors is an integer number (2080800).

Almost surely, 2^150788736 is an apocalyptic number.

150788736 is a gapful number since it is divisible by the number (16) 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 150788736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266342400).

150788736 is an abundant number, since it is smaller than the sum of its proper divisors (381896064).

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

150788736 is a wasteful number, since it uses less digits than its factorization.

150788736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 150788736 is about 12279.6065083536. The cubic root of 150788736 is about 532.2589426677.

The spelling of 150788736 in words is "one hundred fifty million, seven hundred eighty-eight thousand, seven hundred thirty-six".