152467152 has 120 divisors (see below), whose sum is σ = 433975200. Its totient is φ = 46061568.

The previous prime is 152467141. The next prime is 152467157. The reversal of 152467152 is 251764251.

It is a super-2 number, since 2×152467152² = 46492464877982208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152467157) 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, 402099 + ... + 402477.

It is an arithmetic number, because the mean of its divisors is an integer number (3616460).

Almost surely, 2^152467152 is an apocalyptic number.

152467152 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 152467152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216987600).

152467152 is an abundant number, since it is smaller than the sum of its proper divisors (281508048).

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

152467152 is a wasteful number, since it uses less digits than its factorization.

152467152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 430 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 152467152 is about 12347.7589869579. The cubic root of 152467152 is about 534.2265026865.

The spelling of 152467152 in words is "one hundred fifty-two million, four hundred sixty-seven thousand, one hundred fifty-two".