137120417193 has 16 divisors (see below), whose sum is σ = 185231210112. Its totient is φ = 90217440000.

The previous prime is 137120417171. The next prime is 137120417227. The reversal of 137120417193 is 391714021731.

It is not a de Polignac number, because 137120417193 - 2¹² = 137120413097 is a prime.

It is a super-2 number, since 2×137120417193² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137120417393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633328 + ... + 821793.

It is an arithmetic number, because the mean of its divisors is an integer number (11576950632).

Almost surely, 2^137120417193 is an apocalyptic number.

It is an amenable number.

137120417193 is a deficient number, since it is larger than the sum of its proper divisors (48110792919).

137120417193 is a wasteful number, since it uses less digits than its factorization.

137120417193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455536.

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 137120417193 in words is "one hundred thirty-seven billion, one hundred twenty million, four hundred seventeen thousand, one hundred ninety-three".