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137222854925 = 5213808152249
BaseRepresentation
bin111111111001100011…
…1101001100100001101
3111010012022000021220012
41333303013221210031
54222013022324200
6143012254003005
712625340010302
oct1776307514415
9433168007805
10137222854925
11532177a6a22
12227177a6465
13cc2b4077a0
1468da8770a9
153881eeda35
hex1ff31e990d

137222854925 has 24 divisors (see below), whose sum is σ = 183271473000. Its totient is φ = 101319321600.

The previous prime is 137222854921. The next prime is 137222854961. The reversal of 137222854925 is 529458222731.

It can be written as a sum of positive squares in 12 ways, for example, as 115667329801 + 21555525124 = 340099^2 + 146818^2 .

It is not a de Polignac number, because 137222854925 - 22 = 137222854921 is a prime.

It is a super-3 number, since 3×1372228549253 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137222854921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2600201 + ... + 2652449.

It is an arithmetic number, because the mean of its divisors is an integer number (7636311375).

Almost surely, 2137222854925 is an apocalyptic number.

It is an amenable number.

137222854925 is a deficient number, since it is larger than the sum of its proper divisors (46048618075).

137222854925 is a wasteful number, since it uses less digits than its factorization.

137222854925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60353 (or 60348 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 50.

The spelling of 137222854925 in words is "one hundred thirty-seven billion, two hundred twenty-two million, eight hundred fifty-four thousand, nine hundred twenty-five".

Divisors: 1 5 13 25 65 325 8081 40405 52249 105053 202025 261245 525265 679237 1306225 2626325 3396185 16980925 422224169 2111120845 5488914197 10555604225 27444570985 137222854925