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137045260 = 225113112003
BaseRepresentation
bin10000010101100…
…10010100001100
3100112212121202101
420022302110030
5240040422020
621333204444
73252602602
oct1012622414
9315777671
10137045260
11703a4150
1239a90724
1322514491
14142b5872
15c07100a
hex82b250c

137045260 has 48 divisors (see below), whose sum is σ = 315124992. Its totient is φ = 49649600.

The previous prime is 137045239. The next prime is 137045267. The reversal of 137045260 is 62540731.

It is not an unprimeable number, because it can be changed into a prime (137045267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67419 + ... + 69421.

It is an arithmetic number, because the mean of its divisors is an integer number (6565104).

Almost surely, 2137045260 is an apocalyptic number.

137045260 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 137045260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157562496).

137045260 is an abundant number, since it is smaller than the sum of its proper divisors (178079732).

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

137045260 is a wasteful number, since it uses less digits than its factorization.

137045260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 137045260 is about 11706.6331624426. The cubic root of 137045260 is about 515.5704365159.

Adding to 137045260 its reverse (62540731), we get a palindrome (199585991).

The spelling of 137045260 in words is "one hundred thirty-seven million, forty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 311 622 1244 1555 2003 3110 3421 4006 6220 6842 8012 10015 13684 17105 20030 22033 34210 40060 44066 68420 88132 110165 220330 440660 622933 1245866 2491732 3114665 6229330 6852263 12458660 13704526 27409052 34261315 68522630 137045260