150150560 has 96 divisors (see below), whose sum is σ = 410780160. Its totient is φ = 50798592.

The previous prime is 150150557. The next prime is 150150563. The reversal of 150150560 is 65051051.

It is an interprime number because it is at equal distance from previous prime (150150557) and next prime (150150563).

It is not an unprimeable number, because it can be changed into a prime (150150563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 87632 + ... + 89328.

It is an arithmetic number, because the mean of its divisors is an integer number (4278960).

Almost surely, 2^150150560 is an apocalyptic number.

150150560 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 150150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205390080).

150150560 is an abundant number, since it is smaller than the sum of its proper divisors (260629600).

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

150150560 is a wasteful number, since it uses less digits than its factorization.

150150560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 150150560 is about 12253.5937585673. The cubic root of 150150560 is about 531.5069961175.

The spelling of 150150560 in words is "one hundred fifty million, one hundred fifty thousand, five hundred sixty".