135605790 has 24 divisors (see below), whose sum is σ = 352575288. Its totient is φ = 36161520.

The previous prime is 135605773. The next prime is 135605797. The reversal of 135605790 is 97506531.

It is a happy number.

135605790 is a `hidden beast` number, since 1 + 3 + 560 + 5 + 7 + 90 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135605797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753276 + ... + 753455.

It is an arithmetic number, because the mean of its divisors is an integer number (14690637).

Almost surely, 2^135605790 is an apocalyptic number.

135605790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135605790 is an abundant number, since it is smaller than the sum of its proper divisors (216969498).

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

135605790 is a wasteful number, since it uses less digits than its factorization.

135605790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506744 (or 1506741 counting only the distinct ones).

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

The square root of 135605790 is about 11644.9899098282. The cubic root of 135605790 is about 513.7589623172.

The spelling of 135605790 in words is "one hundred thirty-five million, six hundred five thousand, seven hundred ninety".