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135042424 = 231117194751
BaseRepresentation
bin10000000110010…
…01010101111000
3100102002212101021
420003021111320
5234032324144
621222232224
73226561456
oct1003112570
9312085337
10135042424
116a256410
1239285674
1321c9297a
1413d139d6
15bcc7884
hex80c9578

135042424 has 64 divisors (see below), whose sum is σ = 307929600. Its totient is φ = 54720000.

The previous prime is 135042331. The next prime is 135042461. The reversal of 135042424 is 424240531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26049 + ... + 30799.

It is an arithmetic number, because the mean of its divisors is an integer number (4811400).

Almost surely, 2135042424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135042424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153964800).

135042424 is an abundant number, since it is smaller than the sum of its proper divisors (172887176).

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

135042424 is a wasteful number, since it uses less digits than its factorization.

135042424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 135042424 is about 11620.7755335003. The cubic root of 135042424 is about 513.0465146859.

Adding to 135042424 its reverse (424240531), we get a palindrome (559282955).

The spelling of 135042424 in words is "one hundred thirty-five million, forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 19 22 34 38 44 68 76 88 136 152 187 209 323 374 418 646 748 836 1292 1496 1672 2584 3553 4751 7106 9502 14212 19004 28424 38008 52261 80767 90269 104522 161534 180538 209044 323068 361076 418088 646136 722152 888437 992959 1534573 1776874 1985918 3069146 3553748 3971836 6138292 7107496 7943672 12276584 16880303 33760606 67521212 135042424