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136044672 = 2732771279
BaseRepresentation
bin10000001101111…
…10000010000000
3100110222210012120
420012332002000
5234311412142
621255524240
73241234461
oct1006760200
9313883176
10136044672
116a880415
1239689680
1322253c0a
14140d4d68
15be247ec
hex81be080

136044672 has 64 divisors (see below), whose sum is σ = 362956800. Its totient is φ = 45149184.

The previous prime is 136044661. The next prime is 136044697. The reversal of 136044672 is 276440631.

It is a happy number.

136044672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 105729 + ... + 107007.

It is an arithmetic number, because the mean of its divisors is an integer number (5671200).

Almost surely, 2136044672 is an apocalyptic number.

136044672 is a gapful number since it is divisible by the number (12) 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 136044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181478400).

136044672 is an abundant number, since it is smaller than the sum of its proper divisors (226912128).

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

136044672 is a wasteful number, since it uses less digits than its factorization.

136044672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 136044672 is about 11663.8189286357. The cubic root of 136044672 is about 514.3126179929.

The spelling of 136044672 in words is "one hundred thirty-six million, forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 277 384 554 831 1108 1279 1662 2216 2558 3324 3837 4432 5116 6648 7674 8864 10232 13296 15348 17728 20464 26592 30696 35456 40928 53184 61392 81856 106368 122784 163712 245568 354283 491136 708566 1062849 1417132 2125698 2834264 4251396 5668528 8502792 11337056 17005584 22674112 34011168 45348224 68022336 136044672