135155844 has 96 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 43430400.

The previous prime is 135155833. The next prime is 135155849. The reversal of 135155844 is 448551531.

135155844 is a `hidden beast` number, since 13 + 51 + 558 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 135155799 and 135155808.

It is not an unprimeable number, because it can be changed into a prime (135155849) 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, 579952 + ... + 580184.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2^135155844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135155844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

135155844 is an abundant number, since it is smaller than the sum of its proper divisors (228087036).

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

135155844 is a wasteful number, since it uses less digits than its factorization.

135155844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 135155844 is about 11625.6545622171. The cubic root of 135155844 is about 513.1901077156.

The spelling of 135155844 in words is "one hundred thirty-five million, one hundred fifty-five thousand, eight hundred forty-four".