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135456 = 2531783
BaseRepresentation
bin100001000100100000
320212210220
4201010200
513313311
62523040
71102626
oct410440
9225726
10135456
1192852
1266480
1349869
1437516
152a206
hex21120

135456 has 48 divisors (see below), whose sum is σ = 381024. Its totient is φ = 41984.

The previous prime is 135449. The next prime is 135461. The reversal of 135456 is 654531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1591 + ... + 1673.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2135456 is an apocalyptic number.

135456 is a gapful number since it is divisible by the number (16) 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 135456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512).

135456 is an abundant number, since it is smaller than the sum of its proper divisors (245568).

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

135456 is a wasteful number, since it uses less digits than its factorization.

135456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

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

The square root of 135456 is about 368.0434756928. The cubic root of 135456 is about 51.3569726770.

Adding to 135456 its reverse (654531), we get a palindrome (789987).

The spelling of 135456 in words is "one hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 83 96 102 136 166 204 249 272 332 408 498 544 664 816 996 1328 1411 1632 1992 2656 2822 3984 4233 5644 7968 8466 11288 16932 22576 33864 45152 67728 135456