135364240 has 80 divisors (see below), whose sum is σ = 346959936. Its totient is φ = 48704000.

The previous prime is 135364219. The next prime is 135364249. The reversal of 135364240 is 42463531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135364199 and 135364208.

It is not an unprimeable number, because it can be changed into a prime (135364249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 88119 + ... + 89641.

Almost surely, 2^135364240 is an apocalyptic number.

135364240 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 135364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173479968).

135364240 is an abundant number, since it is smaller than the sum of its proper divisors (211595696).

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

135364240 is a wasteful number, since it uses less digits than its factorization.

135364240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 135364240 is about 11634.6138741258. The cubic root of 135364240 is about 513.4537338692.

The spelling of 135364240 in words is "one hundred thirty-five million, three hundred sixty-four thousand, two hundred forty".