135768448 has 64 divisors (see below), whose sum is σ = 285534720. Its totient is φ = 64176640.

The previous prime is 135768439. The next prime is 135768463. The reversal of 135768448 is 844867531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 135768398 and 135768407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314793 + ... + 315223.

It is an arithmetic number, because the mean of its divisors is an integer number (4461480).

Almost surely, 2^135768448 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 135768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142767360).

135768448 is an abundant number, since it is smaller than the sum of its proper divisors (149766272).

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

135768448 is a wasteful number, since it uses less digits than its factorization.

135768448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 563 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 135768448 is about 11651.9718502921. The cubic root of 135768448 is about 513.9642967524.

The spelling of 135768448 in words is "one hundred thirty-five million, seven hundred sixty-eight thousand, four hundred forty-eight".