152868496 has 45 divisors (see below), whose sum is σ = 326718889. Its totient is φ = 69238400.

The previous prime is 152868491. The next prime is 152868517. The reversal of 152868496 is 694868251.

The square root of 152868496 is 12364.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 103306896 + 49561600 = 10164^2 + 7040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152868491) 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 8 ways as a sum of consecutive naturals, for example, 543876 + ... + 544156.

Almost surely, 2^152868496 is an apocalyptic number.

152868496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

152868496 is the 12364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152868496

152868496 is an abundant number, since it is smaller than the sum of its proper divisors (173850393).

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

152868496 is an equidigital number, since it uses as much as digits as its factorization.

152868496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 294 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

The cubic root of 152868496 is about 534.6948456309.

Multiplying 152868496 by its sum of digits (49), we get a square (7490556304 = 86548²).

The spelling of 152868496 in words is "one hundred fifty-two million, eight hundred sixty-eight thousand, four hundred ninety-six".