135442944 has 480 divisors, whose sum is σ = 536215680. Its totient is φ = 31850496.

The previous prime is 135442933. The next prime is 135442949. The reversal of 135442944 is 449244531.

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

Its product of digits (69120) is a multiple of the sum of its prime factors (80).

It is a junction number, because it is equal to n+sod(n) for n = 135442899 and 135442908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135442949) by changing a digit.

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, 7128567 + ... + 7128585.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^135442944 is an apocalyptic number.

135442944 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 135442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

135442944 is an abundant number, since it is smaller than the sum of its proper divisors (400772736).

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

135442944 is a wasteful number, since it uses less digits than its factorization.

135442944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 61 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 135442944 is about 11637.9957037284. The cubic root of 135442944 is about 513.5532260079.

The spelling of 135442944 in words is "one hundred thirty-five million, four hundred forty-two thousand, nine hundred forty-four".