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137500000137 = 3215277777793
BaseRepresentation
bin1000000000001110100…
…0110111111110001001
3111010220121111201122200
42000003220313332021
54223100000001022
6143055554110413
712635243500653
oct2000350677611
9433817451580
10137500000137
115334a190255
122279457b409
13cc73962936
1469255bb6d3
15389b4e5bac
hex2003a37f89

137500000137 has 6 divisors (see below), whose sum is σ = 198611111322. Its totient is φ = 91666666752.

The previous prime is 137500000123. The next prime is 137500000139. The reversal of 137500000137 is 731000005731.

It can be written as a sum of positive squares in only one way, i.e., 120503402496 + 16996597641 = 347136^2 + 130371^2 .

It is not a de Polignac number, because 137500000137 - 216 = 137499934601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137500000137.

It is not an unprimeable number, because it can be changed into a prime (137500000139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7638888888 + ... + 7638888905.

It is an arithmetic number, because the mean of its divisors is an integer number (33101851887).

Almost surely, 2137500000137 is an apocalyptic number.

It is an amenable number.

137500000137 is a deficient number, since it is larger than the sum of its proper divisors (61111111185).

137500000137 is a wasteful number, since it uses less digits than its factorization.

137500000137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15277777799 (or 15277777796 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

Adding to 137500000137 its reverse (731000005731), we get a palindrome (868500005868).

The spelling of 137500000137 in words is "one hundred thirty-seven billion, five hundred million, one hundred thirty-seven", and thus it is an aban number.

Divisors: 1 3 9 15277777793 45833333379 137500000137