135005670 has 128 divisors (see below), whose sum is σ = 387763200. Its totient is φ = 33302016.

The previous prime is 135005669. The next prime is 135005683. The reversal of 135005670 is 76500531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307311 + ... + 307749.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2^135005670 is an apocalyptic number.

135005670 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 135005670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193881600).

135005670 is an abundant number, since it is smaller than the sum of its proper divisors (252757530).

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

135005670 is a wasteful number, since it uses less digits than its factorization.

135005670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 135005670 is about 11619.1940340111. The cubic root of 135005670 is about 512.9999658014. Note that the first 4 decimals are identical.

Adding to 135005670 its sum of digits (27), we get a cube (135005697 = 513³).

The spelling of 135005670 in words is "one hundred thirty-five million, five thousand, six hundred seventy".