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135900 = 223252151
BaseRepresentation
bin100001001011011100
320220102100
4201023130
513322100
62525100
71104132
oct411334
9226370
10135900
1193116
1266790
1349b1b
1437752
152a400
hex212dc

135900 has 54 divisors (see below), whose sum is σ = 428792. Its totient is φ = 36000.

The previous prime is 135899. The next prime is 135911. The reversal of 135900 is 9531.

It can be divided in two parts, 135 and 900, that added together give a triangular number (1035 = T45).

135900 = 283 + 293 + ... + 323.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 825 + ... + 975.

2135900 is an apocalyptic number.

135900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214396).

135900 is an abundant number, since it is smaller than the sum of its proper divisors (292892).

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

135900 is a wasteful number, since it uses less digits than its factorization.

135900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 135900 is about 368.6461718233. The cubic root of 135900 is about 51.4130244011.

The spelling of 135900 in words is "one hundred thirty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 151 180 225 300 302 450 453 604 755 900 906 1359 1510 1812 2265 2718 3020 3775 4530 5436 6795 7550 9060 11325 13590 15100 22650 27180 33975 45300 67950 135900