135974560 has 48 divisors (see below), whose sum is σ = 323345736. Its totient is φ = 54033408.

The previous prime is 135974537. The next prime is 135974581. The reversal of 135974560 is 65479531.

It can be written as a sum of positive squares in 4 ways, for example, as 76807696 + 59166864 = 8764^2 + 7692^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22414 + ... + 27826.

Almost surely, 2^135974560 is an apocalyptic number.

135974560 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 135974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161672868).

135974560 is an abundant number, since it is smaller than the sum of its proper divisors (187371176).

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

135974560 is a wasteful number, since it uses less digits than its factorization.

135974560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 135974560 is about 11660.8130076766. The cubic root of 135974560 is about 514.2242507381.

The spelling of 135974560 in words is "one hundred thirty-five million, nine hundred seventy-four thousand, five hundred sixty".