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137366581 = 1121135261
BaseRepresentation
bin10000011000000…
…00110000110101
3100120110221112011
420030000300311
5240131212311
621344124221
73255411442
oct1014006065
9316427464
10137366581
11705a3600
123a006671
13225c7801
141435a9c9
15c0d6321
hex8300c35

137366581 has 6 divisors (see below), whose sum is σ = 150989846. Its totient is φ = 124878600.

The previous prime is 137366563. The next prime is 137366587. The reversal of 137366581 is 185663731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 133402500 + 3964081 = 11550^2 + 1991^2 .

It is not a de Polignac number, because 137366581 - 221 = 135269429 is a prime.

It is a super-2 number, since 2×1373665812 = 37739155151259122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137366587) 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, 567510 + ... + 567751.

Almost surely, 2137366581 is an apocalyptic number.

137366581 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137366581 is a deficient number, since it is larger than the sum of its proper divisors (13623265).

137366581 is a wasteful number, since it uses less digits than its factorization.

137366581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135283 (or 1135272 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 137366581 is about 11720.3490135746. The cubic root of 137366581 is about 515.9730633636.

The spelling of 137366581 in words is "one hundred thirty-seven million, three hundred sixty-six thousand, five hundred eighty-one".

Divisors: 1 11 121 1135261 12487871 137366581