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137268 = 22333141
BaseRepresentation
bin100001100000110100
320222022000
4201200310
513343033
62535300
71111125
oct414064
9228260
10137268
119414a
1267530
134a631
143804c
152aa13
hex21834

137268 has 48 divisors (see below), whose sum is σ = 376320. Its totient is φ = 43200.

The previous prime is 137251. The next prime is 137273. The reversal of 137268 is 862731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3328 + ... + 3368.

It is an arithmetic number, because the mean of its divisors is an integer number (7840).

2137268 is an apocalyptic number.

137268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160).

137268 is an abundant number, since it is smaller than the sum of its proper divisors (239052).

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

137268 is a wasteful number, since it uses less digits than its factorization.

137268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 137268 is about 370.4969635503. The cubic root of 137268 is about 51.5849604628.

Adding to 137268 its reverse (862731), we get a palindrome (999999).

The spelling of 137268 in words is "one hundred thirty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 41 54 62 82 93 108 123 124 164 186 246 279 369 372 492 558 738 837 1107 1116 1271 1476 1674 2214 2542 3348 3813 4428 5084 7626 11439 15252 22878 34317 45756 68634 137268