150348960 has 168 divisors, whose sum is σ = 532968660. Its totient is φ = 40061952.

The previous prime is 150348959. The next prime is 150348971. The reversal of 150348960 is 69843051.

It can be written as a sum of positive squares in 2 ways, for example, as 148937616 + 1411344 = 12204^2 + 1188^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 115996 + ... + 117284.

Almost surely, 2^150348960 is an apocalyptic number.

150348960 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 150348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266484330).

150348960 is an abundant number, since it is smaller than the sum of its proper divisors (382619700).

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

150348960 is an equidigital number, since it uses as much as digits as its factorization.

150348960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 150348960 is about 12261.6866702750. The cubic root of 150348960 is about 531.7409936387.

The spelling of 150348960 in words is "one hundred fifty million, three hundred forty-eight thousand, nine hundred sixty".