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137277125 = 531764601
BaseRepresentation
bin10000010111010…
…10111011000101
3100120022101210222
420023222323011
5240120332000
621342154125
73254556566
oct1013527305
9316271728
10137277125
1170542377
1239b82945
1322595b8b
141433616d
15c0b9a85
hex82eaec5

137277125 has 16 divisors (see below), whose sum is σ = 181402416. Its totient is φ = 103360000.

The previous prime is 137277121. The next prime is 137277131. The reversal of 137277125 is 521772731.

137277125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6723649 + 130553476 = 2593^2 + 11426^2 .

It is not a de Polignac number, because 137277125 - 22 = 137277121 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 (137277121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30176 + ... + 34425.

It is an arithmetic number, because the mean of its divisors is an integer number (11337651).

Almost surely, 2137277125 is an apocalyptic number.

It is an amenable number.

137277125 is a deficient number, since it is larger than the sum of its proper divisors (44125291).

137277125 is an equidigital number, since it uses as much as digits as its factorization.

137277125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64633 (or 64623 counting only the distinct ones).

The product of its digits is 20580, while the sum is 35.

The square root of 137277125 is about 11716.5321234570. The cubic root of 137277125 is about 515.8610348797.

The spelling of 137277125 in words is "one hundred thirty-seven million, two hundred seventy-seven thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 2125 64601 323005 1098217 1615025 5491085 8075125 27455425 137277125