137801381 has 2 divisors, whose sum is σ = 137801382. Its totient is φ = 137801380.

The previous prime is 137801351. The next prime is 137801387. The reversal of 137801381 is 183108731.

137801381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131217025 + 6584356 = 11455^2 + 2566^2 .

It is a cyclic number.

It is not a de Polignac number, because 137801381 - 2¹⁰ = 137800357 is a prime.

It is a super-2 number, since 2×137801381² = 37978441211014322, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137801387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68900690 + 68900691.

It is an arithmetic number, because the mean of its divisors is an integer number (68900691).

Almost surely, 2^137801381 is an apocalyptic number.

It is an amenable number.

137801381 is a deficient number, since it is larger than the sum of its proper divisors (1).

137801381 is an equidigital number, since it uses as much as digits as its factorization.

137801381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 137801381 is about 11738.8832944194. The cubic root of 137801381 is about 516.5168851061.

The spelling of 137801381 in words is "one hundred thirty-seven million, eight hundred one thousand, three hundred eighty-one".