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135457854 = 2372479803
BaseRepresentation
bin10000001001011…
…10110000111110
3100102212222020120
420010232300332
5234134122404
621235155410
73233241600
oct1004566076
9312788216
10135457854
116a50a544
1239445b66
13220a9a9c
1413dc1170
15bd5a9d9
hex812ec3e

135457854 has 48 divisors (see below), whose sum is σ = 321884928. Its totient is φ = 37874928.

The previous prime is 135457841. The next prime is 135457871. The reversal of 135457854 is 458754531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 8917 + ... + 18719.

It is an arithmetic number, because the mean of its divisors is an integer number (6705936).

Almost surely, 2135457854 is an apocalyptic number.

135457854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135457854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160942464).

135457854 is an abundant number, since it is smaller than the sum of its proper divisors (186427074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135457854 is a wasteful number, since it uses less digits than its factorization.

135457854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9869 (or 9862 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The square root of 135457854 is about 11638.6362603185. The cubic root of 135457854 is about 513.5720698532.

The spelling of 135457854 in words is "one hundred thirty-five million, four hundred fifty-seven thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 141 147 282 294 329 658 987 1974 2303 4606 6909 9803 13818 19606 29409 58818 68621 137242 205863 411726 460741 480347 921482 960694 1382223 1441041 2764446 2882082 3225187 6450374 9675561 19351122 22576309 45152618 67728927 135457854