Search a number
-
+
137670040134 = 2321119195118757
BaseRepresentation
bin1000000000110111000…
…1100001101001000110
3111011100110110122200100
42000031301201221012
54223422012241014
6143124510424530
712642410014254
oct2001561415106
9434313418610
10137670040134
115342716a880
1222821502146
13cc9cc5a213
1469400015d4
1538ab3d3009
hex200dc61a46

137670040134 has 96 divisors (see below), whose sum is σ = 342722165760. Its totient is φ = 39500136000.

The previous prime is 137670040129. The next prime is 137670040139. The reversal of 137670040134 is 431040076731.

It is an interprime number because it is at equal distance from previous prime (137670040129) and next prime (137670040139).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137670040139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7330284 + ... + 7349040.

It is an arithmetic number, because the mean of its divisors is an integer number (3570022560).

Almost surely, 2137670040134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137670040134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171361082880).

137670040134 is an abundant number, since it is smaller than the sum of its proper divisors (205052125626).

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

137670040134 is a wasteful number, since it uses less digits than its factorization.

137670040134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20746 (or 20743 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 137670040134 in words is "one hundred thirty-seven billion, six hundred seventy million, forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 1951 3762 3902 5853 11706 17559 18757 21461 35118 37069 37514 42922 56271 64383 74138 111207 112542 128766 168813 193149 206327 222414 333621 337626 356383 386298 407759 412654 618981 667242 712766 815518 1069149 1223277 1237962 1856943 2138298 2446554 3207447 3669831 3713886 3920213 6414894 7339662 7840426 11760639 23521278 35281917 36594907 70563834 73189814 109784721 219569442 329354163 402543977 658708326 695303233 805087954 1207631931 1390606466 2085909699 2415263862 3622895793 4171819398 6257729097 7245791586 7648335563 12515458194 15296671126 22945006689 45890013378 68835020067 137670040134