135808920 has 256 divisors, whose sum is σ = 517104000. Its totient is φ = 31408128.

The previous prime is 135808919. The next prime is 135808931. The reversal of 135808920 is 29808531.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 238396 + ... + 238964.

Almost surely, 2^135808920 is an apocalyptic number.

135808920 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 135808920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258552000).

135808920 is an abundant number, since it is smaller than the sum of its proper divisors (381295080).

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

135808920 is a wasteful number, since it uses less digits than its factorization.

135808920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 135808920 is about 11653.7084226438. The cubic root of 135808920 is about 514.0153618729.

It can be divided in two parts, 13580 and 8920, that added together give a square (22500 = 150²).

The spelling of 135808920 in words is "one hundred thirty-five million, eight hundred eight thousand, nine hundred twenty".