152618112 has 96 divisors (see below), whose sum is σ = 465067980. Its totient is φ = 47874048.

The previous prime is 152618069. The next prime is 152618189. The reversal of 152618112 is 211816251.

It can be written as a sum of positive squares in 2 ways, for example, as 122412096 + 30206016 = 11064^2 + 5496^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×152618112² = 46584576220889088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15688 + ... + 23480.

Almost surely, 2^152618112 is an apocalyptic number.

152618112 is a gapful number since it is divisible by the number (12) 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 152618112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232533990).

152618112 is an abundant number, since it is smaller than the sum of its proper divisors (312449868).

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

152618112 is a wasteful number, since it uses less digits than its factorization.

152618112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7830 (or 7815 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 152618112 is about 12353.8703247201. The cubic root of 152618112 is about 534.4027597357.

The spelling of 152618112 in words is "one hundred fifty-two million, six hundred eighteen thousand, one hundred twelve".