152390160 has 320 divisors, whose sum is σ = 580796160. Its totient is φ = 36951552.

The previous prime is 152390137. The next prime is 152390191. The reversal of 152390160 is 61093251.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2274447 + ... + 2274513.

It is an arithmetic number, because the mean of its divisors is an integer number (1814988).

Almost surely, 2^152390160 is an apocalyptic number.

152390160 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 152390160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290398080).

152390160 is an abundant number, since it is smaller than the sum of its proper divisors (428406000).

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

152390160 is an equidigital number, since it uses as much as digits as its factorization.

152390160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 152390160 is about 12344.6409425305. The cubic root of 152390160 is about 534.1365639867.

The spelling of 152390160 in words is "one hundred fifty-two million, three hundred ninety thousand, one hundred sixty".