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136752384 = 2834143101
BaseRepresentation
bin10000010011010…
…10110100000000
3100112022202000010
420021222310000
5240002034014
621323024520
73250242666
oct1011526400
9315282003
10136752384
11702140aa
123996b140
1322441092
141423ac36
15c014359
hex826ad00

136752384 has 144 divisors (see below), whose sum is σ = 385285824. Its totient is φ = 43008000.

The previous prime is 136752311. The next prime is 136752389. The reversal of 136752384 is 483257631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136752389) 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, 1353934 + ... + 1354034.

It is an arithmetic number, because the mean of its divisors is an integer number (2675596).

Almost surely, 2136752384 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 136752384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192642912).

136752384 is an abundant number, since it is smaller than the sum of its proper divisors (248533440).

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

136752384 is a wasteful number, since it uses less digits than its factorization.

136752384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 136752384 is about 11694.1174955616. The cubic root of 136752384 is about 515.2029036782.

The spelling of 136752384 in words is "one hundred thirty-six million, seven hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 43 48 64 82 86 96 101 123 128 129 164 172 192 202 246 256 258 303 328 344 384 404 492 516 606 656 688 768 808 984 1032 1212 1312 1376 1616 1763 1968 2064 2424 2624 2752 3232 3526 3936 4128 4141 4343 4848 5248 5289 5504 6464 7052 7872 8256 8282 8686 9696 10496 10578 11008 12423 12928 13029 14104 15744 16512 16564 17372 19392 21156 24846 25856 26058 28208 31488 33024 33128 34744 38784 42312 49692 52116 56416 66256 69488 77568 84624 99384 104232 112832 132512 138976 169248 178063 198768 208464 225664 265024 277952 338496 356126 397536 416928 451328 530048 534189 555904 676992 712252 795072 833856 1060096 1068378 1111808 1353984 1424504 1590144 1667712 2136756 2849008 3180288 3335424 4273512 5698016 8547024 11396032 17094048 22792064 34188096 45584128 68376192 136752384