135944424 has 288 divisors, whose sum is σ = 486570240. Its totient is φ = 33868800.

The previous prime is 135944387. The next prime is 135944429. The reversal of 135944424 is 424449531.

135944424 is a `hidden beast` number, since 1 + 3 + 594 + 44 + 24 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135944429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1202992 + ... + 1203104.

It is an arithmetic number, because the mean of its divisors is an integer number (1689480).

Almost surely, 2^135944424 is an apocalyptic number.

135944424 is a gapful number since it is divisible by the number (14) 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 135944424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243285120).

135944424 is an abundant number, since it is smaller than the sum of its proper divisors (350625816).

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

135944424 is a wasteful number, since it uses less digits than its factorization.

135944424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 135944424 is about 11659.5207448677. The cubic root of 135944424 is about 514.1862588103.

The spelling of 135944424 in words is "one hundred thirty-five million, nine hundred forty-four thousand, four hundred twenty-four".