135365460 has 96 divisors (see below), whose sum is σ = 388964352. Its totient is φ = 35164800.

The previous prime is 135365459. The next prime is 135365467. The reversal of 135365460 is 64563531.

It is a super-2 number, since 2×135365460² = 36647615522023200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135365467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606909 + ... + 607131.

It is an arithmetic number, because the mean of its divisors is an integer number (4051712).

Almost surely, 2^135365460 is an apocalyptic number.

135365460 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 135365460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194482176).

135365460 is an abundant number, since it is smaller than the sum of its proper divisors (253598892).

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

135365460 is a wasteful number, since it uses less digits than its factorization.

135365460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 135365460 is about 11634.6663037665. Note that the first 3 decimals coincide. The cubic root of 135365460 is about 513.4552764028.

The spelling of 135365460 in words is "one hundred thirty-five million, three hundred sixty-five thousand, four hundred sixty".