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135377137 = 717266919
BaseRepresentation
bin10000001000110…
…11000011110001
3100102201212112001
420010123003301
5234124032022
621233334001
73232454350
oct1004330361
9312655461
10135377137
116a464935
1239407301
132207c11c
1413d9d997
15bd41b27
hex811b0f1

135377137 has 12 divisors (see below), whose sum is σ = 164355520. Its totient is φ = 109210176.

The previous prime is 135377131. The next prime is 135377183. The reversal of 135377137 is 731773531.

It is not a de Polignac number, because 135377137 - 23 = 135377129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135377096 and 135377105.

It is not an unprimeable number, because it can be changed into a prime (135377131) 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 11 ways as a sum of consecutive naturals, for example, 31437 + ... + 35482.

Almost surely, 2135377137 is an apocalyptic number.

135377137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

135377137 is a deficient number, since it is larger than the sum of its proper divisors (28978383).

135377137 is an equidigital number, since it uses as much as digits as its factorization.

135377137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66960 (or 66943 counting only the distinct ones).

The product of its digits is 46305, while the sum is 37.

The square root of 135377137 is about 11635.1681122363. The cubic root of 135377137 is about 513.4700400037.

The spelling of 135377137 in words is "one hundred thirty-five million, three hundred seventy-seven thousand, one hundred thirty-seven".

Divisors: 1 7 17 119 289 2023 66919 468433 1137623 7963361 19339591 135377137