135504000144 has 80 divisors (see below), whose sum is σ = 396285350400. Its totient is φ = 44315766144.

The previous prime is 135504000109. The next prime is 135504000169. The reversal of 135504000144 is 441000405531.

It is a happy number.

135504000144 is a `hidden beast` number, since 13 + 5 + 504 + 0 + 0 + 0 + 144 = 666.

It is a super-2 number, since 2×135504000144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2936224 + ... + 2982015.

It is an arithmetic number, because the mean of its divisors is an integer number (4953566880).

Almost surely, 2^135504000144 is an apocalyptic number.

It is an amenable number.

135504000144 is an abundant number, since it is smaller than the sum of its proper divisors (260781350256).

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

135504000144 is a wasteful number, since it uses less digits than its factorization.

135504000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918309 (or 5918297 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 135504000144 its reverse (441000405531), we get a palindrome (576504405675).

The spelling of 135504000144 in words is "one hundred thirty-five billion, five hundred four million, one hundred forty-four", and thus it is an aban number.