266138496 has 144 divisors (see below), whose sum is σ = 829890360. Its totient is φ = 81828864.

The previous prime is 266138479. The next prime is 266138501. The reversal of 266138496 is 694831662.

266138496 is a `hidden beast` number, since 26 + 6 + 138 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194005 + ... + 195371.

Almost surely, 2^266138496 is an apocalyptic number.

266138496 is a gapful number since it is divisible by the number (26) 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 266138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414945180).

266138496 is an abundant number, since it is smaller than the sum of its proper divisors (563751864).

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

266138496 is a wasteful number, since it uses less digits than its factorization.

266138496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1385 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 266138496 is about 16313.7517450769. The cubic root of 266138496 is about 643.2343562253.

The spelling of 266138496 in words is "two hundred sixty-six million, one hundred thirty-eight thousand, four hundred ninety-six".