150788960 has 192 divisors, whose sum is σ = 434294784. Its totient is φ = 48384000.

The previous prime is 150788947. The next prime is 150788969. The reversal of 150788960 is 69887051.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150788969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492910 + ... + 1493010.

It is an arithmetic number, because the mean of its divisors is an integer number (2261952).

Almost surely, 2^150788960 is an apocalyptic number.

150788960 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 150788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217147392).

150788960 is an abundant number, since it is smaller than the sum of its proper divisors (283505824).

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

150788960 is a wasteful number, since it uses less digits than its factorization.

150788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 150788960 is about 12279.6156291636. The cubic root of 150788960 is about 532.2592062284.

The spelling of 150788960 in words is "one hundred fifty million, seven hundred eighty-eight thousand, nine hundred sixty".