137166481 has 2 divisors, whose sum is σ = 137166482. Its totient is φ = 137166480.

The previous prime is 137166479. The next prime is 137166499. The reversal of 137166481 is 184661731.

137166481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134931456 + 2235025 = 11616^2 + 1495^2 .

It is a cyclic number.

It is not a de Polignac number, because 137166481 - 2¹ = 137166479 is a prime.

It is a super-2 number, since 2×137166481² = 37629287019846722, which contains 22 as substring.

Together with 137166479, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 137166481.

It is not a weakly prime, because it can be changed into another prime (137136481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68583240 + 68583241.

It is an arithmetic number, because the mean of its divisors is an integer number (68583241).

Almost surely, 2^137166481 is an apocalyptic number.

It is an amenable number.

137166481 is a deficient number, since it is larger than the sum of its proper divisors (1).

137166481 is an equidigital number, since it uses as much as digits as its factorization.

137166481 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24192, while the sum is 37.

The square root of 137166481 is about 11711.8094673710. The cubic root of 137166481 is about 515.7224046704.

The spelling of 137166481 in words is "one hundred thirty-seven million, one hundred sixty-six thousand, four hundred eighty-one".