135806160 has 160 divisors (see below), whose sum is σ = 484611840. Its totient is φ = 30818304.

The previous prime is 135806137. The next prime is 135806161. The reversal of 135806160 is 61608531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135806161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384544 + ... + 384896.

It is an arithmetic number, because the mean of its divisors is an integer number (3028824).

Almost surely, 2^135806160 is an apocalyptic number.

135806160 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 135806160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242305920).

135806160 is an abundant number, since it is smaller than the sum of its proper divisors (348805680).

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

135806160 is a wasteful number, since it uses less digits than its factorization.

135806160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 135806160 is about 11653.5900048011. The cubic root of 135806160 is about 514.0118797943.

The spelling of 135806160 in words is "one hundred thirty-five million, eight hundred six thousand, one hundred sixty".