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135408 = 24371331
BaseRepresentation
bin100001000011110000
320212202010
4201003300
513313113
62522520
71102530
oct410360
9225663
10135408
1192809
1266440
1349830
14374c0
152a1c3
hex210f0

135408 has 80 divisors (see below), whose sum is σ = 444416. Its totient is φ = 34560.

The previous prime is 135403. The next prime is 135409. The reversal of 135408 is 804531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4353 + ... + 4383.

2135408 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 135408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222208).

135408 is an abundant number, since it is smaller than the sum of its proper divisors (309008).

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

135408 is a wasteful number, since it uses less digits than its factorization.

135408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 135408 is about 367.9782602274. The cubic root of 135408 is about 51.3509056985.

Adding to 135408 its reverse (804531), we get a palindrome (939939).

The spelling of 135408 in words is "one hundred thirty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4836 5208 5642 6448 8463 9672 10416 11284 16926 19344 22568 33852 45136 67704 135408