152165988 has 72 divisors (see below), whose sum is σ = 415685816. Its totient is φ = 46656000.

The previous prime is 152165983. The next prime is 152166013. The reversal of 152165988 is 889561251.

It is a happy number.

152165988 is a `hidden beast` number, since 1 + 52 + 1 + 6 + 598 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 135908964 = 4032^2 + 11658^2 .

It is a super-2 number, since 2×152165988² = 46308975808032288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152165983) 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 23 ways as a sum of consecutive naturals, for example, 252888 + ... + 253488.

Almost surely, 2^152165988 is an apocalyptic number.

152165988 is a gapful number since it is divisible by the number (18) 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 152165988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207842908).

152165988 is an abundant number, since it is smaller than the sum of its proper divisors (263519828).

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

152165988 is a wasteful number, since it uses less digits than its factorization.

152165988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1160 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 152165988 is about 12335.5578714544. The cubic root of 152165988 is about 533.8745233948.

The spelling of 152165988 in words is "one hundred fifty-two million, one hundred sixty-five thousand, nine hundred eighty-eight".