135394560 has 432 divisors, whose sum is σ = 566302464. Its totient is φ = 29196288.

The previous prime is 135394559. The next prime is 135394561. The reversal of 135394560 is 65493531.

135394560 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 94 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (135394559) and next prime (135394561).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135394561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1854684 + ... + 1854756.

Almost surely, 2^135394560 is an apocalyptic number.

135394560 is a gapful number since it is divisible by the number (10) 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 135394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283151232).

135394560 is an abundant number, since it is smaller than the sum of its proper divisors (430907904).

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

135394560 is a wasteful number, since it uses less digits than its factorization.

135394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 135394560 is about 11635.9168096029. The cubic root of 135394560 is about 513.4920668760.

The spelling of 135394560 in words is "one hundred thirty-five million, three hundred ninety-four thousand, five hundred sixty".