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137009037 = 3116761967
BaseRepresentation
bin10000010101010…
…01011110001101
3100112210210001210
420022221132031
5240033242122
621332325033
73252362154
oct1012513615
9315723053
10137009037
1170379a10
1239a73779
1322500b49
14142a659b
15c06540c
hex82a978d

137009037 has 16 divisors (see below), whose sum is σ = 202263552. Its totient is φ = 81795120.

The previous prime is 137009029. The next prime is 137009053. The reversal of 137009037 is 730900731.

It is not a de Polignac number, because 137009037 - 23 = 137009029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137008995 and 137009013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137009087) 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, 28773 + ... + 33194.

It is an arithmetic number, because the mean of its divisors is an integer number (12641472).

Almost surely, 2137009037 is an apocalyptic number.

It is an amenable number.

137009037 is a deficient number, since it is larger than the sum of its proper divisors (65254515).

137009037 is a wasteful number, since it uses less digits than its factorization.

137009037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62048.

The product of its (nonzero) digits is 3969, while the sum is 30.

The square root of 137009037 is about 11705.0859458613. The cubic root of 137009037 is about 515.5250083277.

Adding to 137009037 its reverse (730900731), we get a palindrome (867909768).

The spelling of 137009037 in words is "one hundred thirty-seven million, nine thousand, thirty-seven".

Divisors: 1 3 11 33 67 201 737 2211 61967 185901 681637 2044911 4151789 12455367 45669679 137009037