Search a number
-
+
137018769 = 3431377753
BaseRepresentation
bin10000010101010…
…11110110010001
3100112211021102020
420022223312101
5240034100034
621332442053
73252432426
oct1012536621
9315737366
10137018769
1170386258
1239a79329
13225053c4
14142a9d4d
15c068249
hex82abd91

137018769 has 16 divisors (see below), whose sum is σ = 188329152. Its totient is φ = 88558848.

The previous prime is 137018753. The next prime is 137018809. The reversal of 137018769 is 967810731.

It is not a de Polignac number, because 137018769 - 24 = 137018753 is a prime.

It is a super-2 number, since 2×1370187692 = 37548286116550722, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137018769.

It is not an unprimeable number, because it can be changed into a prime (137018719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13797 + ... + 21549.

It is an arithmetic number, because the mean of its divisors is an integer number (11770572).

Almost surely, 2137018769 is an apocalyptic number.

It is an amenable number.

137018769 is a deficient number, since it is larger than the sum of its proper divisors (51310383).

137018769 is a wasteful number, since it uses less digits than its factorization.

137018769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936.

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 137018769 is about 11705.5016552047. The cubic root of 137018769 is about 515.5372142637.

The spelling of 137018769 in words is "one hundred thirty-seven million, eighteen thousand, seven hundred sixty-nine".

Divisors: 1 3 43 129 137 411 5891 7753 17673 23259 333379 1000137 1062161 3186483 45672923 137018769