135329544 has 192 divisors, whose sum is σ = 444787200. Its totient is φ = 36352512.

The previous prime is 135329531. The next prime is 135329569. The reversal of 135329544 is 445923531.

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 = 135329499 and 135329508.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686854 + ... + 687050.

It is an arithmetic number, because the mean of its divisors is an integer number (2316600).

Almost surely, 2^135329544 is an apocalyptic number.

135329544 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 135329544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222393600).

135329544 is an abundant number, since it is smaller than the sum of its proper divisors (309457656).

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

135329544 is a wasteful number, since it uses less digits than its factorization.

135329544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 285 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 135329544 is about 11633.1227106053. The cubic root of 135329544 is about 513.4098613441.

The spelling of 135329544 in words is "one hundred thirty-five million, three hundred twenty-nine thousand, five hundred forty-four".