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135249961 = 71119193479
BaseRepresentation
bin10000000111111…
…00000000101001
3100102111102001211
420003330000221
5234110444321
621230513121
73231414520
oct1003740051
9312442054
10135249961
116a388330
12393657a1
1322036282
1413d694b7
15bd190e1
hex80fc029

135249961 has 32 divisors (see below), whose sum is σ = 178790400. Its totient is φ = 99118080.

The previous prime is 135249929. The next prime is 135250043. The reversal of 135249961 is 169942531.

It is a cyclic number.

It is not a de Polignac number, because 135249961 - 25 = 135249929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135249761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282120 + ... + 282598.

It is an arithmetic number, because the mean of its divisors is an integer number (5587200).

Almost surely, 2135249961 is an apocalyptic number.

135249961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135249961 is a deficient number, since it is larger than the sum of its proper divisors (43540439).

135249961 is a wasteful number, since it uses less digits than its factorization.

135249961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709.

The product of its digits is 58320, while the sum is 40.

The square root of 135249961 is about 11629.7016728719. The cubic root of 135249961 is about 513.3092016073.

The spelling of 135249961 in words is "one hundred thirty-five million, two hundred forty-nine thousand, nine hundred sixty-one".

Divisors: 1 7 11 19 77 133 193 209 479 1351 1463 2123 3353 3667 5269 9101 14861 25669 36883 40337 63707 92447 100111 282359 647129 700777 1016917 1756493 7118419 12295451 19321423 135249961