Search a number
-
+
137471656 = 237417421
BaseRepresentation
bin10000011000110…
…10011010101000
3100120200021122211
420030122122220
5240143043111
621350254504
73256330000
oct1014323250
9316607584
10137471656
1170665543
123a057434
132263359a
1414387000
15c107521
hex831a6a8

137471656 has 80 divisors (see below), whose sum is σ = 319145940. Its totient is φ = 55319040.

The previous prime is 137471627. The next prime is 137471657. The reversal of 137471656 is 656174731.

137471656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 131469156 + 6002500 = 11466^2 + 2450^2 .

It is not an unprimeable number, because it can be changed into a prime (137471657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 326326 + ... + 326746.

Almost surely, 2137471656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137471656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159572970).

137471656 is an abundant number, since it is smaller than the sum of its proper divisors (181674284).

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

137471656 is an equidigital number, since it uses as much as digits as its factorization.

137471656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 447 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The square root of 137471656 is about 11724.8307450470. The cubic root of 137471656 is about 516.1045899000.

The spelling of 137471656 in words is "one hundred thirty-seven million, four hundred seventy-one thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 343 392 421 476 686 833 842 952 1372 1666 1684 2401 2744 2947 3332 3368 4802 5831 5894 6664 7157 9604 11662 11788 14314 19208 20629 23324 23576 28628 40817 41258 46648 50099 57256 81634 82516 100198 144403 163268 165032 200396 288806 326536 350693 400792 577612 701386 1010821 1155224 1402772 2021642 2454851 2805544 4043284 4909702 8086568 9819404 17183957 19638808 34367914 68735828 137471656