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137442461 = 132813269
BaseRepresentation
bin10000011000100…
…11010010011101
3100120121210121112
420030103102131
5240141124321
621345511405
73256145612
oct1014232235
9316553545
10137442461
1170645612
123a042565
1322623200
141437a509
15c0eda5b
hex831349d

137442461 has 6 divisors (see below), whose sum is σ = 148828410. Its totient is φ = 126869808.

The previous prime is 137442413. The next prime is 137442469. The reversal of 137442461 is 164244731.

It can be written as a sum of positive squares in 3 ways, for example, as 1276900 + 136165561 = 1130^2 + 11669^2 .

It is not a de Polignac number, because 137442461 - 218 = 137180317 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137442469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 406466 + ... + 406803.

It is an arithmetic number, because the mean of its divisors is an integer number (24804735).

Almost surely, 2137442461 is an apocalyptic number.

It is an amenable number.

137442461 is a deficient number, since it is larger than the sum of its proper divisors (11385949).

137442461 is an equidigital number, since it uses as much as digits as its factorization.

137442461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813295 (or 813282 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 137442461 is about 11723.5856716279. The cubic root of 137442461 is about 516.0680520887.

The spelling of 137442461 in words is "one hundred thirty-seven million, four hundred forty-two thousand, four hundred sixty-one".

Divisors: 1 13 169 813269 10572497 137442461