137768906 has 24 divisors (see below), whose sum is σ = 229528740. Its totient is φ = 61966080.

The previous prime is 137768903. The next prime is 137768923. The reversal of 137768906 is 609867731.

137768906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 128618281 + 9150625 = 11341^2 + 3025^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137768903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20540 + ... + 26408.

Almost surely, 2^137768906 is an apocalyptic number.

It is a pronic number, being equal to 11737×11738.

137768906 is a deficient number, since it is larger than the sum of its proper divisors (91759834).

137768906 is a wasteful number, since it uses less digits than its factorization.

137768906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5990 (or 5979 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 137768906 is about 11737.4999893504. The cubic root of 137768906 is about 516.4763068875.

The spelling of 137768906 in words is "one hundred thirty-seven million, seven hundred sixty-eight thousand, nine hundred six".