137768401 has 4 divisors (see below), whose sum is σ = 137881012. Its totient is φ = 137655792.

The previous prime is 137768383. The next prime is 137768417. The reversal of 137768401 is 104867731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 104867731 = 37 ⋅2834263.

It can be written as a sum of positive squares in 2 ways, for example, as 123743376 + 14025025 = 11124^2 + 3745^2 .

It is a cyclic number.

It is not a de Polignac number, because 137768401 - 2⁷ = 137768273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137768101) 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 3 ways as a sum of consecutive naturals, for example, 54450 + ... + 56923.

It is an arithmetic number, because the mean of its divisors is an integer number (34470253).

Almost surely, 2^137768401 is an apocalyptic number.

It is an amenable number.

137768401 is a deficient number, since it is larger than the sum of its proper divisors (112611).

137768401 is a wasteful number, since it uses less digits than its factorization.

137768401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112610.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 137768401 is about 11737.4784770836. The cubic root of 137768401 is about 516.4756758286.

The spelling of 137768401 in words is "one hundred thirty-seven million, seven hundred sixty-eight thousand, four hundred one".