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137080842138 = 23243118019811
BaseRepresentation
bin111111110101010100…
…1111010011110011010
3111002211101210021222100
41333222221322132122
54221220143422023
6142550222104230
712621663634662
oct1775251723632
9432741707870
10137080842138
115315461a689
122269811b076
13cc07b74256
1468c5a6b1a2
1538747eac43
hex1feaa7a79a

137080842138 has 48 divisors (see below), whose sum is σ = 297893261952. Its totient is φ = 45557640000.

The previous prime is 137080842079. The next prime is 137080842149. The reversal of 137080842138 is 831248080731.

It is a super-2 number, since 2×1370808421382 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137080842093 and 137080842102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13967253 + ... + 13977063.

It is an arithmetic number, because the mean of its divisors is an integer number (6206109624).

Almost surely, 2137080842138 is an apocalyptic number.

137080842138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137080842138 is an abundant number, since it is smaller than the sum of its proper divisors (160812419814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137080842138 is a wasteful number, since it uses less digits than its factorization.

137080842138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12051 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 137080842138 in words is "one hundred thirty-seven billion, eighty million, eight hundred forty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 431 862 1293 1801 2586 3602 3879 5403 7758 9811 10806 16209 19622 29433 32418 58866 88299 176598 776231 1552462 2328693 4228541 4657386 6986079 8457082 12685623 13972158 17669611 25371246 35339222 38056869 53008833 76113738 106017666 159026499 318052998 7615602341 15231204682 22846807023 45693614046 68540421069 137080842138