137768057 has 12 divisors (see below), whose sum is σ = 164594340. Its totient is φ = 114893856.

The previous prime is 137768053. The next prime is 137768063. The reversal of 137768057 is 750867731.

It can be written as a sum of positive squares in 2 ways, for example, as 62789776 + 74978281 = 7924^2 + 8659^2 .

It is not a de Polignac number, because 137768057 - 2² = 137768053 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137767999 and 137768017.

It is not an unprimeable number, because it can be changed into a prime (137768053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36182 + ... + 39807.

It is an arithmetic number, because the mean of its divisors is an integer number (13716195).

Almost surely, 2^137768057 is an apocalyptic number.

It is an amenable number.

137768057 is a deficient number, since it is larger than the sum of its proper divisors (26826283).

137768057 is an equidigital number, since it uses as much as digits as its factorization.

137768057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76040 (or 76033 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 44.

The square root of 137768057 is about 11737.4638231604. The cubic root of 137768057 is about 516.4752459580.

The spelling of 137768057 in words is "one hundred thirty-seven million, seven hundred sixty-eight thousand, fifty-seven".