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135503124 = 223172932267
BaseRepresentation
bin10000001001110…
…01110100010100
3100102222021100020
420010321310110
5234142044444
621240145140
73233520561
oct1004716424
9312867306
10135503124
116a540559
12394681b0
13220c4583
1413dd3868
15bd69119
hex8139d14

135503124 has 48 divisors (see below), whose sum is σ = 336063168. Its totient is φ = 42347008.

The previous prime is 135503119. The next prime is 135503129. The reversal of 135503124 is 421305531.

It is an interprime number because it is at equal distance from previous prime (135503119) and next prime (135503129).

It is a super-2 number, since 2×1355031242 = 36722193227518752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135503094 and 135503103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135503129) 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 15 ways as a sum of consecutive naturals, for example, 58639 + ... + 60905.

It is an arithmetic number, because the mean of its divisors is an integer number (7001316).

Almost surely, 2135503124 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 135503124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168031584).

135503124 is an abundant number, since it is smaller than the sum of its proper divisors (200560044).

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

135503124 is a wasteful number, since it uses less digits than its factorization.

135503124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135503124 is about 11640.5809133393. The cubic root of 135503124 is about 513.6292753909.

Adding to 135503124 its reverse (421305531), we get a palindrome (556808655).

The spelling of 135503124 in words is "one hundred thirty-five million, five hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 293 586 879 1172 1758 2267 3516 4534 4981 6801 9068 9962 13602 14943 19924 27204 29886 38539 59772 77078 115617 154156 231234 462468 664231 1328462 1992693 2656924 3985386 7970772 11291927 22583854 33875781 45167708 67751562 135503124