137761193 has 4 divisors (see below), whose sum is σ = 137816148. Its totient is φ = 137706240.

The previous prime is 137761163. The next prime is 137761201. The reversal of 137761193 is 391167731.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 391167731 = 197 ⋅1985623.

It can be written as a sum of positive squares in 2 ways, for example, as 30162064 + 107599129 = 5492^2 + 10373^2 .

It is a cyclic number.

It is not a de Polignac number, because 137761193 - 2⁸ = 137760937 is a prime.

It is a super-3 number, since 3×137761193³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137761123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23528 + ... + 28793.

It is an arithmetic number, because the mean of its divisors is an integer number (34454037).

Almost surely, 2^137761193 is an apocalyptic number.

It is an amenable number.

137761193 is a deficient number, since it is larger than the sum of its proper divisors (54955).

137761193 is an equidigital number, since it uses as much as digits as its factorization.

137761193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54954.

The product of its digits is 23814, while the sum is 38.

The square root of 137761193 is about 11737.1714224510. The cubic root of 137761193 is about 516.4666683892.

The spelling of 137761193 in words is "one hundred thirty-seven million, seven hundred sixty-one thousand, one hundred ninety-three".