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137069634 = 231316310781
BaseRepresentation
bin10000010101110…
…00010001000010
3100112220212012010
420022320101002
5240042212014
621333513350
73253033632
oct1012702102
9315825163
10137069634
1170410499
1239aa2856
13225225c0
14142c06c2
15c078359
hex82b8442

137069634 has 32 divisors (see below), whose sum is σ = 297065664. Its totient is φ = 41912640.

The previous prime is 137069599. The next prime is 137069641. The reversal of 137069634 is 436960731.

137069634 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137069592 and 137069601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7324 + ... + 18104.

It is an arithmetic number, because the mean of its divisors is an integer number (9283302).

Almost surely, 2137069634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137069634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148532832).

137069634 is an abundant number, since it is smaller than the sum of its proper divisors (159996030).

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

137069634 is a wasteful number, since it uses less digits than its factorization.

137069634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10962.

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 137069634 is about 11707.6741498899. The cubic root of 137069634 is about 515.6010000657.

The spelling of 137069634 in words is "one hundred thirty-seven million, sixty-nine thousand, six hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 163 326 489 978 2119 4238 6357 10781 12714 21562 32343 64686 140153 280306 420459 840918 1757303 3514606 5271909 10543818 22844939 45689878 68534817 137069634