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136044500 = 22532411129
BaseRepresentation
bin10000001101111…
…01111111010100
3100110222202222012
420012331333110
5234311411000
621255523352
73241234124
oct1006757724
9313882865
10136044500
116a880279
1239689558
1322253b07
14140d4c84
15be24735
hex81bdfd4

136044500 has 48 divisors (see below), whose sum is σ = 298618320. Its totient is φ = 54144000.

The previous prime is 136044497. The next prime is 136044509. The reversal of 136044500 is 5440631.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 58920976 + 77123524 = 7676^2 + 8782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136044509) 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, 119936 + ... + 121064.

It is an arithmetic number, because the mean of its divisors is an integer number (6221215).

Almost surely, 2136044500 is an apocalyptic number.

136044500 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 136044500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149309160).

136044500 is an abundant number, since it is smaller than the sum of its proper divisors (162573820).

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

136044500 is a wasteful number, since it uses less digits than its factorization.

136044500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 136044500 is about 11663.8115554050. The cubic root of 136044500 is about 514.3124012460.

The spelling of 136044500 in words is "one hundred thirty-six million, forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 241 250 482 500 964 1129 1205 2258 2410 4516 4820 5645 6025 11290 12050 22580 24100 28225 30125 56450 60250 112900 120500 141125 272089 282250 544178 564500 1088356 1360445 2720890 5441780 6802225 13604450 27208900 34011125 68022250 136044500