135419768 has 48 divisors (see below), whose sum is σ = 289661400. Its totient is φ = 58857920.

The previous prime is 135419759. The next prime is 135419803. The reversal of 135419768 is 867914531.

It is a Cunningham number, because it is equal to 11637²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45098 + ... + 48006.

Almost surely, 2^135419768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135419768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144830700).

135419768 is an abundant number, since it is smaller than the sum of its proper divisors (154241632).

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

135419768 is a wasteful number, since it uses less digits than its factorization.

135419768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2945 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 135419768 is about 11636.9999570336. Note that the first 4 decimals coincide. The cubic root of 135419768 is about 513.5239325206.

The spelling of 135419768 in words is "one hundred thirty-five million, four hundred nineteen thousand, seven hundred sixty-eight".