152286120 has 288 divisors, whose sum is σ = 588205800. Its totient is φ = 34062336.

The previous prime is 152286107. The next prime is 152286133. The reversal of 152286120 is 21682251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152286107) and next prime (152286133).

It can be written as a sum of positive squares in 4 ways, for example, as 95765796 + 56520324 = 9786^2 + 7518^2 .

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1569912 + ... + 1570008.

Almost surely, 2^152286120 is an apocalyptic number.

152286120 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 152286120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294102900).

152286120 is an abundant number, since it is smaller than the sum of its proper divisors (435919680).

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

152286120 is a wasteful number, since it uses less digits than its factorization.

152286120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 152286120 is about 12340.4262487160. The cubic root of 152286120 is about 534.0149808531.

The spelling of 152286120 in words is "one hundred fifty-two million, two hundred eighty-six thousand, one hundred twenty".