135184896 has 320 divisors, whose sum is σ = 502824960. Its totient is φ = 34836480.

The previous prime is 135184877. The next prime is 135184897. The reversal of 135184896 is 698481531.

135184896 is a `hidden beast` number, since 1 + 3 + 518 + 48 + 96 = 666.

It is a super-2 number, since 2×135184896² = 36549912213061632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135184897) 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 31 ways as a sum of consecutive naturals, for example, 1064385 + ... + 1064511.

It is an arithmetic number, because the mean of its divisors is an integer number (1571328).

Almost surely, 2^135184896 is an apocalyptic number.

135184896 is a gapful number since it is divisible by the number (16) 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 135184896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251412480).

135184896 is an abundant number, since it is smaller than the sum of its proper divisors (367640064).

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

135184896 is a wasteful number, since it uses less digits than its factorization.

135184896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 135184896 is about 11626.9039731134. The cubic root of 135184896 is about 513.2268754706.

The spelling of 135184896 in words is "one hundred thirty-five million, one hundred eighty-four thousand, eight hundred ninety-six".