Search a number
-
+
137720232 = 233213147137
BaseRepresentation
bin10000011010101…
…11000110101000
3100121010220122100
420031113012220
5240224021412
621355453400
73261413466
oct1015270650
9317126570
10137720232
1170815281
123a157260
13226bc780
141440d836
15c155edc
hex83571a8

137720232 has 48 divisors (see below), whose sum is σ = 401686740. Its totient is φ = 42375168.

The previous prime is 137720221. The next prime is 137720237. The reversal of 137720232 is 232027731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 135629316 + 2090916 = 11646^2 + 1446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137720196 and 137720205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137720237) 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, 72633 + ... + 74504.

Almost surely, 2137720232 is an apocalyptic number.

137720232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137720232 is an abundant number, since it is smaller than the sum of its proper divisors (263966508).

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

137720232 is a wasteful number, since it uses less digits than its factorization.

137720232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147162 (or 147155 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 137720232 is about 11735.4263663490. The cubic root of 137720232 is about 516.4154757231.

Adding to 137720232 its reverse (232027731), we get a palindrome (369747963).

It can be divided in two parts, 1377 and 20232, that added together give a square (21609 = 1472).

The spelling of 137720232 in words is "one hundred thirty-seven million, seven hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 147137 294274 441411 588548 882822 1177096 1324233 1765644 1912781 2648466 3531288 3825562 5296932 5738343 7651124 10593864 11476686 15302248 17215029 22953372 34430058 45906744 68860116 137720232