Search a number
-
+
137317743 = 3231748131
BaseRepresentation
bin10000010111101…
…00110101101111
3100120101110112100
420023310311233
5240123131433
621343110143
73255116163
oct1013646557
9316343470
10137317743
117056a942
1239ba2353
13225ab504
1414346ca3
15c0c6b13
hex82f4d6f

137317743 has 12 divisors (see below), whose sum is σ = 198977688. Its totient is φ = 91254480.

The previous prime is 137317729. The next prime is 137317757. The reversal of 137317743 is 347713731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137317729) and next prime (137317757).

It is not a de Polignac number, because 137317743 - 25 = 137317711 is a prime.

It is a super-2 number, since 2×1373177432 = 37712325085228098, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137317698 and 137317707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137317793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21213 + ... + 26918.

It is an arithmetic number, because the mean of its divisors is an integer number (16581474).

Almost surely, 2137317743 is an apocalyptic number.

137317743 is a deficient number, since it is larger than the sum of its proper divisors (61659945).

137317743 is a wasteful number, since it uses less digits than its factorization.

137317743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48454 (or 48451 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 137317743 is about 11718.2653579785. The cubic root of 137317743 is about 515.9119080733.

The spelling of 137317743 in words is "one hundred thirty-seven million, three hundred seventeen thousand, seven hundred forty-three".

Divisors: 1 3 9 317 951 2853 48131 144393 433179 15257527 45772581 137317743