137828981 has 2 divisors, whose sum is σ = 137828982. Its totient is φ = 137828980.

The previous prime is 137828953. The next prime is 137828989. The reversal of 137828981 is 189828731.

137828981 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., 133864900 + 3964081 = 11570^2 + 1991^2 .

It is an emirp because it is prime and its reverse (189828731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137828981 - 2¹⁸ = 137566837 is a prime.

It is a super-3 number, since 3×137828981³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137828989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68914490 + 68914491.

It is an arithmetic number, because the mean of its divisors is an integer number (68914491).

Almost surely, 2^137828981 is an apocalyptic number.

It is an amenable number.

137828981 is a deficient number, since it is larger than the sum of its proper divisors (1).

137828981 is an equidigital number, since it uses as much as digits as its factorization.

137828981 is an evil number, because the sum of its binary digits is even.

The product of its digits is 193536, while the sum is 47.

The square root of 137828981 is about 11740.0588158663. The cubic root of 137828981 is about 516.5513668949.

The spelling of 137828981 in words is "one hundred thirty-seven million, eight hundred twenty-eight thousand, nine hundred eighty-one".