151233264 has 160 divisors (see below), whose sum is σ = 534410240. Its totient is φ = 39875328.

The previous prime is 151233239. The next prime is 151233301. The reversal of 151233264 is 462332151.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 37389 + ... + 41235.

It is an arithmetic number, because the mean of its divisors is an integer number (3340064).

Almost surely, 2^151233264 is an apocalyptic number.

151233264 is a gapful number since it is divisible by the number (14) 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 151233264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267205120).

151233264 is an abundant number, since it is smaller than the sum of its proper divisors (383176976).

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

151233264 is a wasteful number, since it uses less digits than its factorization.

151233264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3872 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 151233264 is about 12297.6934422679. The cubic root of 151233264 is about 532.7814659570.

The spelling of 151233264 in words is "one hundred fifty-one million, two hundred thirty-three thousand, two hundred sixty-four".