153791264 has 48 divisors (see below), whose sum is σ = 335282976. Its totient is φ = 68851200.

The previous prime is 153791243. The next prime is 153791273. The reversal of 153791264 is 462197351.

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 7 ways as a sum of consecutive naturals, for example, 20324 + ... + 26844.

It is an arithmetic number, because the mean of its divisors is an integer number (6985062).

Almost surely, 2^153791264 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 153791264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167641488).

153791264 is an abundant number, since it is smaller than the sum of its proper divisors (181491712).

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

153791264 is a wasteful number, since it uses less digits than its factorization.

153791264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6601 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 153791264 is about 12401.2605810861. The cubic root of 153791264 is about 535.7685567943.

The spelling of 153791264 in words is "one hundred fifty-three million, seven hundred ninety-one thousand, two hundred sixty-four".