137764307 has 8 divisors (see below), whose sum is σ = 145828800. Its totient is φ = 129781224.

The previous prime is 137764301. The next prime is 137764309. The reversal of 137764307 is 703467731.

137764307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137764307 - 2⁸ = 137764051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137764301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16853 + ... + 23654.

It is an arithmetic number, because the mean of its divisors is an integer number (18228600).

Almost surely, 2^137764307 is an apocalyptic number.

137764307 is a deficient number, since it is larger than the sum of its proper divisors (8064493).

137764307 is a wasteful number, since it uses less digits than its factorization.

137764307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40705.

The product of its (nonzero) digits is 74088, while the sum is 38.

The square root of 137764307 is about 11737.3040771721. The cubic root of 137764307 is about 516.4705598215.

The spelling of 137764307 in words is "one hundred thirty-seven million, seven hundred sixty-four thousand, three hundred seven".