135762768 has 120 divisors (see below), whose sum is σ = 396203808. Its totient is φ = 43358976.

The previous prime is 135762761. The next prime is 135762769. The reversal of 135762768 is 867267531.

135762768 is a `hidden beast` number, since 1 + 3 + 576 + 2 + 76 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (423360) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135762761) 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 23 ways as a sum of consecutive naturals, for example, 442071 + ... + 442377.

Almost surely, 2^135762768 is an apocalyptic number.

135762768 is a gapful number since it is divisible by the number (18) 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 135762768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198101904).

135762768 is an abundant number, since it is smaller than the sum of its proper divisors (260441040).

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

135762768 is a wasteful number, since it uses less digits than its factorization.

135762768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 432 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 135762768 is about 11651.7281121729. The cubic root of 135762768 is about 513.9571292601.

The spelling of 135762768 in words is "one hundred thirty-five million, seven hundred sixty-two thousand, seven hundred sixty-eight".