135615144 has 48 divisors (see below), whose sum is σ = 394394400. Its totient is φ = 38746848.

The previous prime is 135615143. The next prime is 135615149. The reversal of 135615144 is 441516531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135615143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56484 + ... + 58835.

It is an arithmetic number, because the mean of its divisors is an integer number (8216550).

Almost surely, 2^135615144 is an apocalyptic number.

135615144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135615144 is an abundant number, since it is smaller than the sum of its proper divisors (258779256).

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

135615144 is a wasteful number, since it uses less digits than its factorization.

135615144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115342 (or 115331 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 135615144 is about 11645.3915348519. The cubic root of 135615144 is about 513.7707749663.

The spelling of 135615144 in words is "one hundred thirty-five million, six hundred fifteen thousand, one hundred forty-four".