137582768 has 20 divisors (see below), whose sum is σ = 282247560. Its totient is φ = 64744704.

The previous prime is 137582759. The next prime is 137582773. The reversal of 137582768 is 867285731.

It is a happy number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 252638 + ... + 253181.

It is an arithmetic number, because the mean of its divisors is an integer number (14112378).

Almost surely, 2^137582768 is an apocalyptic number.

It is an amenable number.

137582768 is an abundant number, since it is smaller than the sum of its proper divisors (144664792).

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

137582768 is a wasteful number, since it uses less digits than its factorization.

137582768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505844 (or 505838 counting only the distinct ones).

The product of its digits is 564480, while the sum is 47.

The square root of 137582768 is about 11729.5681079910. The cubic root of 137582768 is about 516.2436003014.

The spelling of 137582768 in words is "one hundred thirty-seven million, five hundred eighty-two thousand, seven hundred sixty-eight".