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137026110 = 23513734813
BaseRepresentation
bin10000010101011…
…01101000111110
3100112211122111010
420022231220332
5240034313420
621332540050
73252463014
oct1012555076
9315748433
10137026110
1170390821
1239a81626
1322508850
14142ac8b4
15c06a4e0
hex82ada3e

137026110 has 64 divisors (see below), whose sum is σ = 359085888. Its totient is φ = 33260544.

The previous prime is 137026051. The next prime is 137026121. The reversal of 137026110 is 11620731.

137026110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26064 + ... + 30876.

It is an arithmetic number, because the mean of its divisors is an integer number (5610717).

Almost surely, 2137026110 is an apocalyptic number.

137026110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137026110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179542944).

137026110 is an abundant number, since it is smaller than the sum of its proper divisors (222059778).

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

137026110 is a wasteful number, since it uses less digits than its factorization.

137026110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 137026110 is about 11705.8152215042. The cubic root of 137026110 is about 515.5464210099.

Adding to 137026110 its reverse (11620731), we get a palindrome (148646841).

The spelling of 137026110 in words is "one hundred thirty-seven million, twenty-six thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 73 78 130 146 195 219 365 390 438 730 949 1095 1898 2190 2847 4745 4813 5694 9490 9626 14235 14439 24065 28470 28878 48130 62569 72195 125138 144390 187707 312845 351349 375414 625690 702698 938535 1054047 1756745 1877070 2108094 3513490 4567537 5270235 9135074 10540470 13702611 22837685 27405222 45675370 68513055 137026110