264123152 has 40 divisors (see below), whose sum is σ = 543777696. Its totient is φ = 123849216.

The previous prime is 264123137. The next prime is 264123173. The reversal of 264123152 is 251321462.

It is a happy number.

It is a super-2 number, since 2×264123152² = 139522078844830208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81923 + ... + 85085.

Almost surely, 2^264123152 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 264123152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271888848).

264123152 is an abundant number, since it is smaller than the sum of its proper divisors (279654544).

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

264123152 is a wasteful number, since it uses less digits than its factorization.

264123152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3489 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 264123152 is about 16251.8661082351. The cubic root of 264123152 is about 641.6066015701.

The spelling of 264123152 in words is "two hundred sixty-four million, one hundred twenty-three thousand, one hundred fifty-two".