135840576 has 112 divisors (see below), whose sum is σ = 395020800. Its totient is φ = 41006592.

The previous prime is 135840563. The next prime is 135840583. The reversal of 135840576 is 675048531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83095 + ... + 84713.

Almost surely, 2^135840576 is an apocalyptic number.

135840576 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 135840576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197510400).

135840576 is an abundant number, since it is smaller than the sum of its proper divisors (259180224).

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

135840576 is a wasteful number, since it uses less digits than its factorization.

135840576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 135840576 is about 11655.0665377766. The cubic root of 135840576 is about 514.0552964275.

The spelling of 135840576 in words is "one hundred thirty-five million, eight hundred forty thousand, five hundred seventy-six".