135744672 has 48 divisors (see below), whose sum is σ = 407236032. Its totient is φ = 38784000.

The previous prime is 135744671. The next prime is 135744709. The reversal of 135744672 is 276447531.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135744672.

It is not an unprimeable number, because it can be changed into a prime (135744671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100329 + ... + 101672.

It is an arithmetic number, because the mean of its divisors is an integer number (8484084).

Almost surely, 2^135744672 is an apocalyptic number.

135744672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135744672 is an abundant number, since it is smaller than the sum of its proper divisors (271491360).

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

135744672 is a wasteful number, since it uses less digits than its factorization.

135744672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202021 (or 202013 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 135744672 is about 11650.9515491225. The cubic root of 135744672 is about 513.9342929023.

The spelling of 135744672 in words is "one hundred thirty-five million, seven hundred forty-four thousand, six hundred seventy-two".