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135443872 = 25231631129
BaseRepresentation
bin10000001001010…
…11010110100000
3100102212021001201
420010223112200
5234133200442
621235010544
73233153044
oct1004532640
9312767051
10135443872
116a4aaa93
1239439a54
13220a3605
1413dba024
15bd567b7
hex812b5a0

135443872 has 48 divisors (see below), whose sum is σ = 280203840. Its totient is φ = 64323072.

The previous prime is 135443857. The next prime is 135443887. The reversal of 135443872 is 278344531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135443857) and next prime (135443887).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119404 + ... + 120532.

It is an arithmetic number, because the mean of its divisors is an integer number (5837580).

Almost surely, 2135443872 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 135443872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140101920).

135443872 is an abundant number, since it is smaller than the sum of its proper divisors (144759968).

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

135443872 is a wasteful number, since it uses less digits than its factorization.

135443872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1317 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 135443872 is about 11638.0355730682. The cubic root of 135443872 is about 513.5543988913.

The spelling of 135443872 in words is "one hundred thirty-five million, four hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 92 163 184 326 368 652 736 1129 1304 2258 2608 3749 4516 5216 7498 9032 14996 18064 25967 29992 36128 51934 59984 103868 119968 184027 207736 368054 415472 736108 830944 1472216 2944432 4232621 5888864 8465242 16930484 33860968 67721936 135443872