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137016200 = 2352685081
BaseRepresentation
bin10000010101010…
…11001110001000
3100112211010220002
420022223032020
5240034004300
621332422132
73252422066
oct1012531610
9315733802
10137016200
1170384332
1239a77948
1322504199
14142a9036
15c0675d5
hex82ab388

137016200 has 24 divisors (see below), whose sum is σ = 318563130. Its totient is φ = 54806400.

The previous prime is 137016199. The next prime is 137016203. The reversal of 137016200 is 2610731.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 101566084 + 35450116 = 10078^2 + 5954^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (137016203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 342341 + ... + 342740.

Almost surely, 2137016200 is an apocalyptic number.

137016200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137016200 is an abundant number, since it is smaller than the sum of its proper divisors (181546930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137016200 is a wasteful number, since it uses less digits than its factorization.

137016200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685097 (or 685088 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 137016200 is about 11705.3919199658. The cubic root of 137016200 is about 515.5339922638.

Adding to 137016200 its reverse (2610731), we get a palindrome (139626931).

The spelling of 137016200 in words is "one hundred thirty-seven million, sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 685081 1370162 2740324 3425405 5480648 6850810 13701620 17127025 27403240 34254050 68508100 137016200