135795660 has 576 divisors, whose sum is σ = 579156480. Its totient is φ = 23224320.

The previous prime is 135795629. The next prime is 135795683. The reversal of 135795660 is 66597531.

It is a happy number.

It is a super-2 number, since 2×135795660² = 36880922549671200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7147131 + ... + 7147149.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^135795660 is an apocalyptic number.

135795660 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 135795660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

135795660 is an abundant number, since it is smaller than the sum of its proper divisors (443360820).

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

135795660 is a wasteful number, since it uses less digits than its factorization.

135795660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 135795660 is about 11653.1394911414. The cubic root of 135795660 is about 513.9986323249.

The spelling of 135795660 in words is "one hundred thirty-five million, seven hundred ninety-five thousand, six hundred sixty".