135484416 has 132 divisors (see below), whose sum is σ = 399271444. Its totient is φ = 44236800.

The previous prime is 135484381. The next prime is 135484429. The reversal of 135484416 is 614484531.

135484416 is a `hidden beast` number, since 135 + 484 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45158400 + 90326016 = 6720^2 + 9504^2 .

It is a super-2 number, since 2×135484416² = 36712053957722112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 562056 + ... + 562296.

Almost surely, 2^135484416 is an apocalyptic number.

135484416 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 135484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199635722).

135484416 is an abundant number, since it is smaller than the sum of its proper divisors (263787028).

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

135484416 is a wasteful number, since it uses less digits than its factorization.

135484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 135484416 is about 11639.7773174576. Note that the first 3 decimals coincide. The cubic root of 135484416 is about 513.6056365294.

The spelling of 135484416 in words is "one hundred thirty-five million, four hundred eighty-four thousand, four hundred sixteen".