135389184 has 112 divisors (see below), whose sum is σ = 413113728. Its totient is φ = 38633472.

The previous prime is 135389171. The next prime is 135389213. The reversal of 135389184 is 481983531.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×135389184² = 36660462288371712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171639 + ... + 172425.

Almost surely, 2^135389184 is an apocalyptic number.

135389184 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 135389184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206556864).

135389184 is an abundant number, since it is smaller than the sum of its proper divisors (277724544).

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

135389184 is an frugal number, since it uses more digits than its factorization.

135389184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 799 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 135389184 is about 11635.6857984392. The cubic root of 135389184 is about 513.4852705176.

It can be divided in two parts, 13538 and 9184, that added together give a palindrome (22722).

The spelling of 135389184 in words is "one hundred thirty-five million, three hundred eighty-nine thousand, one hundred eighty-four".