135465766560 has 72 divisors (see below), whose sum is σ = 462276933300. Its totient is φ = 36124204032.

The previous prime is 135465766559. The next prime is 135465766589. The reversal of 135465766560 is 65667564531.

135465766560 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 6 + 5 + 76 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129263259024 + 6202507536 = 359532^2 + 78756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 135465766497 and 135465766506.

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, 47035285 + ... + 47038164.

Almost surely, 2^135465766560 is an apocalyptic number.

135465766560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135465766560 is an abundant number, since it is smaller than the sum of its proper divisors (326811166740).

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

135465766560 is a wasteful number, since it uses less digits than its factorization.

135465766560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94073470 (or 94073459 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 135465766560 in words is "one hundred thirty-five billion, four hundred sixty-five million, seven hundred sixty-six thousand, five hundred sixty".