152988168 has 64 divisors (see below), whose sum is σ = 406296000. Its totient is φ = 47839232.

The previous prime is 152988167. The next prime is 152988169. The reversal of 152988168 is 861889251.

It is an interprime number because it is at equal distance from previous prime (152988167) and next prime (152988169).

It is not an unprimeable number, because it can be changed into a prime (152988163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231823 + ... + 232481.

It is an arithmetic number, because the mean of its divisors is an integer number (6348375).

Almost surely, 2^152988168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152988168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203148000).

152988168 is an abundant number, since it is smaller than the sum of its proper divisors (253307832).

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

152988168 is a wasteful number, since it uses less digits than its factorization.

152988168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1250 counting only the distinct ones).

The product of its digits is 276480, while the sum is 48.

The square root of 152988168 is about 12368.8385873533. The cubic root of 152988168 is about 534.8343365724.

The spelling of 152988168 in words is "one hundred fifty-two million, nine hundred eighty-eight thousand, one hundred sixty-eight".