135093690 has 64 divisors (see below), whose sum is σ = 361324800. Its totient is φ = 35917632.

The previous prime is 135093689. The next prime is 135093701. The reversal of 135093690 is 96390531.

135093690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135093690² = 36500610155632200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136939 + ... + 137921.

It is an arithmetic number, because the mean of its divisors is an integer number (5645700).

Almost surely, 2^135093690 is an apocalyptic number.

135093690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135093690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180662400).

135093690 is an abundant number, since it is smaller than the sum of its proper divisors (226231110).

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

135093690 is a wasteful number, since it uses less digits than its factorization.

135093690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 135093690 is about 11622.9811150152. The cubic root of 135093690 is about 513.1114288914. Note that the first 3 decimals are identical.

The spelling of 135093690 in words is "one hundred thirty-five million, ninety-three thousand, six hundred ninety".