135790560 has 288 divisors, whose sum is σ = 515198880. Its totient is φ = 33288192.

The previous prime is 135790547. The next prime is 135790609. The reversal of 135790560 is 65097531.

It is a happy number.

135790560 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×135790560² = 36878152370227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3157899 + ... + 3157941.

It is an arithmetic number, because the mean of its divisors is an integer number (1788885).

Almost surely, 2^135790560 is an apocalyptic number.

135790560 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 135790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257599440).

135790560 is an abundant number, since it is smaller than the sum of its proper divisors (379408320).

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

135790560 is a wasteful number, since it uses less digits than its factorization.

135790560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 135790560 is about 11652.9206639366. The cubic root of 135790560 is about 513.9921975934.

The spelling of 135790560 in words is "one hundred thirty-five million, seven hundred ninety thousand, five hundred sixty".