152868144 has 80 divisors (see below), whose sum is σ = 463970304. Its totient is φ = 42758400.

The previous prime is 152868137. The next prime is 152868181. The reversal of 152868144 is 441868251.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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, 4272 + ... + 17999.

Almost surely, 2^152868144 is an apocalyptic number.

It is an amenable number.

152868144 is an abundant number, since it is smaller than the sum of its proper divisors (311102160).

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

152868144 is a wasteful number, since it uses less digits than its factorization.

152868144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22306 (or 22300 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 152868144 is about 12363.9857651164. The cubic root of 152868144 is about 534.6944352286.

The spelling of 152868144 in words is "one hundred fifty-two million, eight hundred sixty-eight thousand, one hundred forty-four".