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135421884 = 223213232547
BaseRepresentation
bin10000001001001…
…01111110111100
3100102211010220100
420010211332330
5234132000014
621234321100
73233031663
oct1004457674
9312733810
10135421884
116a495514
1239429190
13220965c0
1413db1dda
15bd50009
hex8125fbc

135421884 has 108 divisors (see below), whose sum is σ = 386078056. Its totient is φ = 39783744.

The previous prime is 135421877. The next prime is 135421889. The reversal of 135421884 is 488124531.

135421884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1354218842 = 36678173332218912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135421889) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 247299 + ... + 247845.

Almost surely, 2135421884 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 135421884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193039028).

135421884 is an abundant number, since it is smaller than the sum of its proper divisors (250656172).

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

135421884 is a wasteful number, since it uses less digits than its factorization.

135421884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 588 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 135421884 is about 11637.0908735818. The cubic root of 135421884 is about 513.5266071941.

The spelling of 135421884 in words is "one hundred thirty-five million, four hundred twenty-one thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 529 547 598 828 897 1058 1094 1196 1587 1641 1794 2116 2188 2691 3174 3282 3588 4761 4923 5382 6348 6564 6877 7111 9522 9846 10764 12581 13754 14222 19044 19692 20631 21333 25162 27508 28444 37743 41262 42666 50324 61893 63999 75486 82524 85332 113229 123786 127998 150972 163553 226458 247572 255996 289363 327106 452916 490659 578726 654212 868089 981318 1157452 1471977 1736178 1962636 2604267 2943954 3472356 3761719 5208534 5887908 7523438 10417068 11285157 15046876 22570314 33855471 45140628 67710942 135421884