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136800 = 25325219
BaseRepresentation
bin100001011001100000
320221122200
4201121200
513334200
62533200
71106556
oct413140
9227580
10136800
1193864
1267200
134a361
1437bd6
152a800
hex21660

136800 has 108 divisors (see below), whose sum is σ = 507780. Its totient is φ = 34560.

The previous prime is 136777. The next prime is 136811. The reversal of 136800 is 8631.

136800 = 133 + 143 + ... + 273.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

136800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7191 + ... + 7209.

2136800 is an apocalyptic number.

136800 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 136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253890).

136800 is an abundant number, since it is smaller than the sum of its proper divisors (370980).

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

136800 is a wasteful number, since it uses less digits than its factorization.

136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 136800 is about 369.8648401781. The cubic root of 136800 is about 51.5262693141.

The spelling of 136800 in words is "one hundred thirty-six thousand, eight hundred".