150186960 has 600 divisors, whose sum is σ = 677340576. Its totient is φ = 30481920.

The previous prime is 150186937. The next prime is 150186961. The reversal of 150186960 is 69681051.

It is a super-2 number, since 2×150186960² = 45112245908083200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150186961) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3492699 + ... + 3492741.

Almost surely, 2^150186960 is an apocalyptic number.

150186960 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 150186960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338670288).

150186960 is an abundant number, since it is smaller than the sum of its proper divisors (527153616).

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

150186960 is a wasteful number, since it uses less digits than its factorization.

150186960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 150186960 is about 12255.0789471141. The cubic root of 150186960 is about 531.5499425474.

The spelling of 150186960 in words is "one hundred fifty million, one hundred eighty-six thousand, nine hundred sixty".