135406544 has 80 divisors (see below), whose sum is σ = 326145792. Its totient is φ = 53028864.

The previous prime is 135406541. The next prime is 135406561. The reversal of 135406544 is 445604531.

It is a self number, because there is not a number n which added to its sum of digits gives 135406544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135406541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164117 + ... + 164939.

Almost surely, 2^135406544 is an apocalyptic number.

135406544 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 135406544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163072896).

135406544 is an abundant number, since it is smaller than the sum of its proper divisors (190739248).

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

135406544 is a wasteful number, since it uses less digits than its factorization.

135406544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 135406544 is about 11636.4317554824. The cubic root of 135406544 is about 513.5072164443.

The spelling of 135406544 in words is "one hundred thirty-five million, four hundred six thousand, five hundred forty-four".