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137200 = 245273
BaseRepresentation
bin100001011111110000
320222012111
4201133300
513342300
62535104
71111000
oct413760
9228174
10137200
1194098
1267494
134a5ab
1438000
152a9ba
hex217f0

137200 has 60 divisors (see below), whose sum is σ = 384400. Its totient is φ = 47040.

The previous prime is 137197. The next prime is 137201. The reversal of 137200 is 2731.

Adding to 137200 its reverse (2731), we get a palindrome (139931).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

137200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19597 + ... + 19603.

2137200 is an apocalyptic number.

137200 is a gapful number since it is divisible by the number (10) 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 137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192200).

137200 is an abundant number, since it is smaller than the sum of its proper divisors (247200).

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

137200 is an equidigital number, since it uses as much as digits as its factorization.

137200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 137200 is about 370.4051835490. The cubic root of 137200 is about 51.5764409810.

The spelling of 137200 in words is "one hundred thirty-seven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 343 350 392 400 490 560 686 700 784 980 1225 1372 1400 1715 1960 2450 2744 2800 3430 3920 4900 5488 6860 8575 9800 13720 17150 19600 27440 34300 68600 137200