Search a number
-
+
137800 = 23521353
BaseRepresentation
bin100001101001001000
321000000201
4201221020
513402200
62541544
71112515
oct415110
9230021
10137800
1194593
12678b4
134a950
143830c
152ac6a
hex21a48

137800 has 48 divisors (see below), whose sum is σ = 351540. Its totient is φ = 49920.

The previous prime is 137791. The next prime is 137803. The reversal of 137800 is 8731.

137800 = 313 + 323 + ... + 343.

It can be written as a sum of positive squares in 6 ways, for example, as 39204 + 98596 = 198^2 + 314^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (137803) by changing a digit.

137800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2574 + ... + 2626.

2137800 is an apocalyptic number.

137800 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 137800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175770).

137800 is an abundant number, since it is smaller than the sum of its proper divisors (213740).

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

137800 is a wasteful number, since it uses less digits than its factorization.

137800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 137800 is about 371.2142238654. The cubic root of 137800 is about 51.6515159646.

The spelling of 137800 in words is "one hundred thirty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 53 65 100 104 106 130 200 212 260 265 325 424 520 530 650 689 1060 1300 1325 1378 2120 2600 2650 2756 3445 5300 5512 6890 10600 13780 17225 27560 34450 68900 137800