134988768 has 120 divisors (see below), whose sum is σ = 418045320. Its totient is φ = 42612480.

The previous prime is 134988767. The next prime is 134988781. The reversal of 134988768 is 867889431.

134988768 is a `hidden beast` number, since 13 + 498 + 87 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134988767) 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 19 ways as a sum of consecutive naturals, for example, 47878 + ... + 50618.

It is an arithmetic number, because the mean of its divisors is an integer number (3483711).

Almost surely, 2^134988768 is an apocalyptic number.

134988768 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 134988768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209022660).

134988768 is an abundant number, since it is smaller than the sum of its proper divisors (283056552).

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

134988768 is a wasteful number, since it uses less digits than its factorization.

134988768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2765 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 134988768 is about 11618.4666802466. The cubic root of 134988768 is about 512.9785566086.

The spelling of 134988768 in words is "one hundred thirty-four million, nine hundred eighty-eight thousand, seven hundred sixty-eight".