152829768 has 256 divisors, whose sum is σ = 516096000. Its totient is φ = 36578304.

The previous prime is 152829763. The next prime is 152829773. The reversal of 152829768 is 867928251.

It is an interprime number because it is at equal distance from previous prime (152829763) and next prime (152829773).

It is not an unprimeable number, because it can be changed into a prime (152829763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1203321 + ... + 1203447.

It is an arithmetic number, because the mean of its divisors is an integer number (2016000).

Almost surely, 2^152829768 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 152829768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258048000).

152829768 is an abundant number, since it is smaller than the sum of its proper divisors (363266232).

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

152829768 is a wasteful number, since it uses less digits than its factorization.

152829768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 152829768 is about 12362.4337409751. The cubic root of 152829768 is about 534.6496882757.

The spelling of 152829768 in words is "one hundred fifty-two million, eight hundred twenty-nine thousand, seven hundred sixty-eight".