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137194369 = 132172532
BaseRepresentation
bin10000010110101…
…10101110000001
3100120011012021221
420023112232001
5240110204434
621340315041
73254063404
oct1013265601
9316135257
10137194369
1170496184
1239b42a81
1322567300
1414313d3b
15c0a02b4
hex82d6b81

137194369 has 27 divisors (see below), whose sum is σ = 160846203. Its totient is φ = 116942592.

The previous prime is 137194367. The next prime is 137194373. The reversal of 137194369 is 963491731.

The square root of 137194369 is 11713.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 50481025 + 86713344 = 7105^2 + 9312^2 .

It is not a de Polignac number, because 137194369 - 21 = 137194367 is a prime.

It is a super-2 number, since 2×1371943692 = 37644589770616322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137194367) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2588547 + ... + 2588599.

Almost surely, 2137194369 is an apocalyptic number.

137194369 is the 11713-rd square number.

137194369 is the 5857-th centered octagonal number.

It is an amenable number.

137194369 is a deficient number, since it is larger than the sum of its proper divisors (23651834).

137194369 is an equidigital number, since it uses as much as digits as its factorization.

137194369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its digits is 122472, while the sum is 43.

The cubic root of 137194369 is about 515.7573536650.

The spelling of 137194369 in words is "one hundred thirty-seven million, one hundred ninety-four thousand, three hundred sixty-nine".

Divisors: 1 13 17 53 169 221 289 689 901 2809 2873 3757 8957 11713 15317 36517 47753 48841 152269 199121 474721 620789 811801 2588573 8070257 10553413 137194369