137903581 has 2 divisors, whose sum is σ = 137903582. Its totient is φ = 137903580.

The previous prime is 137903543. The next prime is 137903599. The reversal of 137903581 is 185309731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133194681 + 4708900 = 11541^2 + 2170^2 .

It is a cyclic number.

It is not a de Polignac number, because 137903581 - 2⁹ = 137903069 is a prime.

It is a super-2 number, since 2×137903581² = 38034795305247122, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137903581.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137903681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68951790 + 68951791.

It is an arithmetic number, because the mean of its divisors is an integer number (68951791).

Almost surely, 2^137903581 is an apocalyptic number.

It is an amenable number.

137903581 is a deficient number, since it is larger than the sum of its proper divisors (1).

137903581 is an equidigital number, since it uses as much as digits as its factorization.

137903581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 137903581 is about 11743.2355422175. The cubic root of 137903581 is about 516.6445446419.

It can be divided in two parts, 13790 and 3581, that added together give a palindrome (17371).

The spelling of 137903581 in words is "one hundred thirty-seven million, nine hundred three thousand, five hundred eighty-one".