135978144 has 48 divisors (see below), whose sum is σ = 364549248. Its totient is φ = 44360192.

The previous prime is 135978127. The next prime is 135978151. The reversal of 135978144 is 441879531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 135978096 and 135978105.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10557 + ... + 19580.

It is an arithmetic number, because the mean of its divisors is an integer number (7594776).

Almost surely, 2^135978144 is an apocalyptic number.

It is an amenable number.

135978144 is an abundant number, since it is smaller than the sum of its proper divisors (228571104).

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

135978144 is a wasteful number, since it uses less digits than its factorization.

135978144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30197 (or 30189 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 135978144 is about 11660.9666837703. The cubic root of 135978144 is about 514.2287686507.

The spelling of 135978144 in words is "one hundred thirty-five million, nine hundred seventy-eight thousand, one hundred forty-four".