137312766 has 16 divisors (see below), whose sum is σ = 305139600. Its totient is φ = 45770904.

The previous prime is 137312761. The next prime is 137312789. The reversal of 137312766 is 667213731.

It is a self number, because there is not a number n which added to its sum of digits gives 137312766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137312761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1271361 + ... + 1271468.

It is an arithmetic number, because the mean of its divisors is an integer number (19071225).

Almost surely, 2^137312766 is an apocalyptic number.

137312766 is an abundant number, since it is smaller than the sum of its proper divisors (167826834).

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

137312766 is a wasteful number, since it uses less digits than its factorization.

137312766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542840 (or 2542834 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 137312766 is about 11718.0529952719. The cubic root of 137312766 is about 515.9056750245.

The spelling of 137312766 in words is "one hundred thirty-seven million, three hundred twelve thousand, seven hundred sixty-six".