135279144 has 192 divisors, whose sum is σ = 492186240. Its totient is φ = 32417280.

The previous prime is 135279139. The next prime is 135279163. The reversal of 135279144 is 441972531.

135279144 is a `hidden beast` number, since 1 + 3 + 527 + 91 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 135279099 and 135279108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71134 + ... + 73010.

It is an arithmetic number, because the mean of its divisors is an integer number (2563470).

Almost surely, 2^135279144 is an apocalyptic number.

135279144 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 135279144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246093120).

135279144 is an abundant number, since it is smaller than the sum of its proper divisors (356907096).

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

135279144 is a wasteful number, since it uses less digits than its factorization.

135279144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1913 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 135279144 is about 11630.9562805472. The cubic root of 135279144 is about 513.3461180077.

The spelling of 135279144 in words is "one hundred thirty-five million, two hundred seventy-nine thousand, one hundred forty-four".