135614340 has 72 divisors (see below), whose sum is σ = 413300160. Its totient is φ = 35993664.

The previous prime is 135614329. The next prime is 135614357. The reversal of 135614340 is 43416531.

135614340 is a `hidden beast` number, since 1 + 3 + 5 + 614 + 3 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39201 + ... + 42519.

It is an arithmetic number, because the mean of its divisors is an integer number (5740280).

Almost surely, 2^135614340 is an apocalyptic number.

135614340 is a gapful number since it is divisible by the number (10) 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 135614340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206650080).

135614340 is an abundant number, since it is smaller than the sum of its proper divisors (277685820).

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

135614340 is a wasteful number, since it uses less digits than its factorization.

135614340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135614340 is about 11645.3570147076. The cubic root of 135614340 is about 513.7697596606.

The spelling of 135614340 in words is "one hundred thirty-five million, six hundred fourteen thousand, three hundred forty".