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137269236 = 223132113599
BaseRepresentation
bin10000010111010…
…00111111110100
3100120021222222210
420023220333310
5240120103421
621342053420
73254524566
oct1013507764
9316258883
10137269236
1170537455
1239b7a270
1322592400
1414333336
15c0b7576
hex82e8ff4

137269236 has 72 divisors (see below), whose sum is σ = 350481600. Its totient is φ = 41793024.

The previous prime is 137269219. The next prime is 137269261. The reversal of 137269236 is 632962731.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 137269194 and 137269203.

It is a congruent number.

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, 228865 + ... + 229463.

It is an arithmetic number, because the mean of its divisors is an integer number (4867800).

Almost surely, 2137269236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137269236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175240800).

137269236 is an abundant number, since it is smaller than the sum of its proper divisors (213212364).

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

137269236 is a wasteful number, since it uses less digits than its factorization.

137269236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 730 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 137269236 is about 11716.1954575707. The cubic root of 137269236 is about 515.8511529088.

The spelling of 137269236 in words is "one hundred thirty-seven million, two hundred sixty-nine thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 169 226 338 339 452 507 599 676 678 1014 1198 1356 1469 1797 2028 2396 2938 3594 4407 5876 7188 7787 8814 15574 17628 19097 23361 31148 38194 46722 57291 67687 76388 93444 101231 114582 135374 202462 203061 229164 270748 303693 404924 406122 607386 812244 879931 1214772 1759862 2639793 3519724 5279586 10559172 11439103 22878206 34317309 45756412 68634618 137269236