150000960 has 224 divisors, whose sum is σ = 505919232. Its totient is φ = 37601280.

The previous prime is 150000947. The next prime is 150000989. The reversal of 150000960 is 69000051.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1456269 + ... + 1456371.

It is an arithmetic number, because the mean of its divisors is an integer number (2258568).

Almost surely, 2^150000960 is an apocalyptic number.

150000960 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 150000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252959616).

150000960 is an abundant number, since it is smaller than the sum of its proper divisors (355918272).

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

150000960 is a wasteful number, since it uses less digits than its factorization.

150000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 150000960 is about 12247.4879056891. The cubic root of 150000960 is about 531.3304180914.

It can be divided in two parts, 150000 and 960, that multiplied together give a square (144000000 = 12000²).

The spelling of 150000960 in words is "one hundred fifty million, nine hundred sixty", and thus it is an aban number.