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137137137 = 3137333667
BaseRepresentation
bin10000010110010…
…00101111110001
3100120001021210020
420023020233301
5240101342022
621335154053
73253434504
oct1013105761
9316037706
10137137137
1170457185
1239b15929
1322547247
14142db13b
15c08d35c
hex82c8bf1

137137137 has 8 divisors (see below), whose sum is σ = 184184736. Its totient is φ = 90757152.

The previous prime is 137137103. The next prime is 137137159. The reversal of 137137137 is 731731731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137137137 - 222 = 132942833 is a prime.

137137137 is a modest number, since divided by 137137 gives 137 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 137137098 and 137137107.

It is not an unprimeable number, because it can be changed into a prime (137137177) 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 7 ways as a sum of consecutive naturals, for example, 166423 + ... + 167244.

It is an arithmetic number, because the mean of its divisors is an integer number (23023092).

Almost surely, 2137137137 is an apocalyptic number.

It is an amenable number.

137137137 is a deficient number, since it is larger than the sum of its proper divisors (47047599).

137137137 is a wasteful number, since it uses less digits than its factorization.

137137137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333807.

The product of its digits is 9261, while the sum is 33.

The square root of 137137137 is about 11710.5566477431. The cubic root of 137137137 is about 515.6856259146.

Adding to 137137137 its reverse (731731731), we get a palindrome (868868868).

The spelling of 137137137 in words is "one hundred thirty-seven million, one hundred thirty-seven thousand, one hundred thirty-seven".

Divisors: 1 3 137 411 333667 1001001 45712379 137137137