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136146451 = 7231471907
BaseRepresentation
bin10000001110101…
…10111000010011
3100111011221211011
420013112320103
5234323141301
621302031351
73242140300
oct1007267023
9314157734
10136146451
116a93a931
1239718557
132228b33c
14141200a7
15be44a51
hex81d6e13

136146451 has 24 divisors (see below), whose sum is σ = 167049216. Its totient is φ = 110471760.

The previous prime is 136146433. The next prime is 136146463. The reversal of 136146451 is 154641631.

It is not a de Polignac number, because 136146451 - 27 = 136146323 is a prime.

It is a super-2 number, since 2×1361464512 = 37071712239790802, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136146401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70440 + ... + 72346.

It is an arithmetic number, because the mean of its divisors is an integer number (6960384).

Almost surely, 2136146451 is an apocalyptic number.

136146451 is a deficient number, since it is larger than the sum of its proper divisors (30902765).

136146451 is a wasteful number, since it uses less digits than its factorization.

136146451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1992 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 136146451 is about 11668.1811350356. The cubic root of 136146451 is about 514.4408434615.

The spelling of 136146451 in words is "one hundred thirty-six million, one hundred forty-six thousand, four hundred fifty-one".

Divisors: 1 7 31 47 49 217 329 1457 1519 1907 2303 10199 13349 59117 71393 89629 93443 413819 627403 2778499 2896733 4391821 19449493 136146451