137120510105 has 8 divisors (see below), whose sum is σ = 164829788232. Its totient is φ = 109506290688.

The previous prime is 137120510101. The next prime is 137120510123. The reversal of 137120510105 is 501015021731.

It can be written as a sum of positive squares in 4 ways, for example, as 28689923161 + 108430586944 = 169381^2 + 329288^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137120510105 - 2² = 137120510101 is a prime.

It is a super-2 number, since 2×137120510105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137120510101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23761502 + ... + 23767271.

It is an arithmetic number, because the mean of its divisors is an integer number (20603723529).

Almost surely, 2^137120510105 is an apocalyptic number.

It is an amenable number.

137120510105 is a deficient number, since it is larger than the sum of its proper divisors (27709278127).

137120510105 is an equidigital number, since it uses as much as digits as its factorization.

137120510105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47529355.

The product of its (nonzero) digits is 1050, while the sum is 26.

Adding to 137120510105 its reverse (501015021731), we get a palindrome (638135531836).

The spelling of 137120510105 in words is "one hundred thirty-seven billion, one hundred twenty million, five hundred ten thousand, one hundred five".