Search a number
-
+
137246130 = 2335772617
BaseRepresentation
bin10000010111000…
…11010110110010
3100120020211022000
420023203112302
5240113334010
621341354430
73254400330
oct1013432662
9316224260
10137246130
117052105a
1239b68a16
1322584a38
1414328b50
15c0b07c0
hex82e35b2

137246130 has 64 divisors (see below), whose sum is σ = 418279680. Its totient is φ = 31370112.

The previous prime is 137246119. The next prime is 137246149. The reversal of 137246130 is 31642731.

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

It is a junction number, because it is equal to n+sod(n) for n = 137246094 and 137246103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34419 + ... + 38198.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2137246130 is an apocalyptic number.

137246130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137246130 is an abundant number, since it is smaller than the sum of its proper divisors (281033550).

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

137246130 is a wasteful number, since it uses less digits than its factorization.

137246130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72640 (or 72634 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137246130 is about 11715.2093451206. The cubic root of 137246130 is about 515.8222075410.

Adding to 137246130 its reverse (31642731), we get a palindrome (168888861).

The spelling of 137246130 in words is "one hundred thirty-seven million, two hundred forty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 72617 145234 217851 363085 435702 508319 653553 726170 1016638 1089255 1307106 1524957 1960659 2178510 2541595 3049914 3267765 3921318 4574871 5083190 6535530 7624785 9149742 9803295 13724613 15249570 19606590 22874355 27449226 45748710 68623065 137246130