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137600112 = 24313220513
BaseRepresentation
bin10000011001110…
…01110001110000
3100120220210212110
420030321301300
5240211200422
621353125320
73260403336
oct1014716160
9316823773
10137600112
1170743001
123a0b9840
1322679bb0
14143bbb56
15c13060c
hex8339c70

137600112 has 40 divisors (see below), whose sum is σ = 382812304. Its totient is φ = 42338304.

The previous prime is 137600087. The next prime is 137600117. The reversal of 137600112 is 211006731.

137600112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137600117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109633 + ... + 110880.

Almost surely, 2137600112 is an apocalyptic number.

137600112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137600112 is an abundant number, since it is smaller than the sum of its proper divisors (245212192).

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

137600112 is a wasteful number, since it uses less digits than its factorization.

137600112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220537 (or 220531 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 137600112 is about 11730.3074128515. The cubic root of 137600112 is about 516.2652923415.

Adding to 137600112 its reverse (211006731), we get a palindrome (348606843).

The spelling of 137600112 in words is "one hundred thirty-seven million, six hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 220513 441026 661539 882052 1323078 1764104 2646156 2866669 3528208 5292312 5733338 8600007 10584624 11466676 17200014 22933352 34400028 45866704 68800056 137600112