137009768 has 16 divisors (see below), whose sum is σ = 293592480. Its totient is φ = 58718448.

The previous prime is 137009731. The next prime is 137009771. The reversal of 137009768 is 867900731.

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, 1223246 + ... + 1223357.

It is an arithmetic number, because the mean of its divisors is an integer number (18349530).

Almost surely, 2^137009768 is an apocalyptic number.

It is an amenable number.

137009768 is an abundant number, since it is smaller than the sum of its proper divisors (156582712).

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

137009768 is a wasteful number, since it uses less digits than its factorization.

137009768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446616 (or 2446612 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 137009768 is about 11705.1171715622. The cubic root of 137009768 is about 515.5259251726.

The spelling of 137009768 in words is "one hundred thirty-seven million, nine thousand, seven hundred sixty-eight".