135420144 has 80 divisors (see below), whose sum is σ = 372892800. Its totient is φ = 42225408.

The previous prime is 135420139. The next prime is 135420149. The reversal of 135420144 is 441024531.

It is an interprime number because it is at equal distance from previous prime (135420139) and next prime (135420149).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135420149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74802 + ... + 76590.

It is an arithmetic number, because the mean of its divisors is an integer number (4661160).

Almost surely, 2^135420144 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 135420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186446400).

135420144 is an abundant number, since it is smaller than the sum of its proper divisors (237472656).

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

135420144 is a wasteful number, since it uses less digits than its factorization.

135420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 135420144 is about 11637.0161123889. The cubic root of 135420144 is about 513.5244077954.

Adding to 135420144 its reverse (441024531), we get a palindrome (576444675).

The spelling of 135420144 in words is "one hundred thirty-five million, four hundred twenty thousand, one hundred forty-four".