Search a number
-
+
137192875512 = 23371174238569
BaseRepresentation
bin111111111000101010…
…1010010010111111000
3111010010012121011212120
41333301111102113320
54221432334004022
6143005303241240
712624524125620
oct1776125222770
9433105534776
10137192875512
115320188aa50
1222709749220
13cc2513bca4
1468d68b1880
15387e57ad5c
hex1ff15525f8

137192875512 has 64 divisors (see below), whose sum is σ = 427614163200. Its totient is φ = 35634512640.

The previous prime is 137192875511. The next prime is 137192875517. The reversal of 137192875512 is 215578291731.

It is a happy number.

It is a super-2 number, since 2×1371928755122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137192875511) 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, 37117437 + ... + 37121132.

It is an arithmetic number, because the mean of its divisors is an integer number (6681471300).

Almost surely, 2137192875512 is an apocalyptic number.

137192875512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137192875512 is an abundant number, since it is smaller than the sum of its proper divisors (290421287688).

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

137192875512 is a wasteful number, since it uses less digits than its factorization.

137192875512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74238596 (or 74238592 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 51.

The spelling of 137192875512 in words is "one hundred thirty-seven billion, one hundred ninety-two million, eight hundred seventy-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 74238569 148477138 222715707 296954276 445431414 519669983 593908552 816624259 890862828 1039339966 1559009949 1633248518 1781725656 2078679932 2449872777 3118019898 3266497036 4157359864 4899745554 5716369813 6236039796 6532994072 9799491108 11432739626 12472079592 17149109439 19598982216 22865479252 34298218878 45730958504 68596437756 137192875512