264137048 has 96 divisors (see below), whose sum is σ = 596516400. Its totient is φ = 109283328.

The previous prime is 264136997. The next prime is 264137051. The reversal of 264137048 is 840731462.

It is a junction number, because it is equal to n+sod(n) for n = 264136999 and 264137017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2337440 + ... + 2337552.

Almost surely, 2^264137048 is an apocalyptic number.

264137048 is a gapful number since it is divisible by the number (28) 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 264137048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298258200).

264137048 is an abundant number, since it is smaller than the sum of its proper divisors (332379352).

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

264137048 is a wasteful number, since it uses less digits than its factorization.

264137048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 264137048 is about 16252.2936227475. The cubic root of 264137048 is about 641.6178534034.

The spelling of 264137048 in words is "two hundred sixty-four million, one hundred thirty-seven thousand, forty-eight".