266135040 has 120 divisors (see below), whose sum is σ = 921780288. Its totient is φ = 70963200.

The previous prime is 266135029. The next prime is 266135053. The reversal of 266135040 is 40531662.

266135040 is a `hidden beast` number, since 2 + 6 + 613 + 5 + 0 + 40 = 666.

266135040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 266134995 and 266135013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17265 + ... + 28815.

Almost surely, 2^266135040 is an apocalyptic number.

266135040 is a gapful number since it is divisible by the number (20) 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 266135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460890144).

266135040 is an abundant number, since it is smaller than the sum of its proper divisors (655645248).

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

266135040 is a wasteful number, since it uses less digits than its factorization.

266135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11580 (or 11561 counting only the distinct ones).

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

The square root of 266135040 is about 16313.6458218266. The cubic root of 266135040 is about 643.2315719261.

The spelling of 266135040 in words is "two hundred sixty-six million, one hundred thirty-five thousand, forty".