137114768 has 20 divisors (see below), whose sum is σ = 303611520. Its totient is φ = 58763424.

The previous prime is 137114713. The next prime is 137114819. The reversal of 137114768 is 867411731.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 612008 + ... + 612231.

It is an arithmetic number, because the mean of its divisors is an integer number (15180576).

Almost surely, 2^137114768 is an apocalyptic number.

It is an amenable number.

137114768 is an abundant number, since it is smaller than the sum of its proper divisors (166496752).

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

137114768 is a wasteful number, since it uses less digits than its factorization.

137114768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224254 (or 1224248 counting only the distinct ones).

The product of its digits is 28224, while the sum is 38.

The square root of 137114768 is about 11709.6015303681. The cubic root of 137114768 is about 515.6575858586.

The spelling of 137114768 in words is "one hundred thirty-seven million, one hundred fourteen thousand, seven hundred sixty-eight".