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137431477 = 3736072
BaseRepresentation
bin10000011000100…
…00100110110101
3100120121020112201
420030100212311
5240140301402
621345344501
73256101601
oct1014204665
9316536481
10137431477
1170638337
123a038131
132261b201
1414376501
15c0ea687
hex83109b5

137431477 has 6 divisors (see below), whose sum is σ = 138027318. Its totient is φ = 136837224.

The previous prime is 137431471. The next prime is 137431487. The reversal of 137431477 is 774134731.

It can be written as a sum of positive squares in only one way, i.e., 119377476 + 18054001 = 10926^2 + 4249^2 .

It is not a de Polignac number, because 137431477 - 219 = 136907189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137431471) 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, 226108 + ... + 226714.

It is an arithmetic number, because the mean of its divisors is an integer number (23004553).

Almost surely, 2137431477 is an apocalyptic number.

It is an amenable number.

137431477 is a deficient number, since it is larger than the sum of its proper divisors (595841).

137431477 is an frugal number, since it uses more digits than its factorization.

137431477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 980 counting only the distinct ones).

The product of its digits is 49392, while the sum is 37.

The square root of 137431477 is about 11723.1172049076. The cubic root of 137431477 is about 516.0543041720.

The spelling of 137431477 in words is "one hundred thirty-seven million, four hundred thirty-one thousand, four hundred seventy-seven".

Divisors: 1 373 607 226411 368449 137431477