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135981450 = 23352119157
BaseRepresentation
bin10000001101011…
…10100110001010
3100110212120111000
420012232212022
5234302401300
621254315430
73240552243
oct1006564612
9313776430
10135981450
116a837970
1239658b76
13222311c7
14140b9cca
15be10c00
hex81ae98a

135981450 has 96 divisors (see below), whose sum is σ = 408813120. Its totient is φ = 32961600.

The previous prime is 135981427. The next prime is 135981491. The reversal of 135981450 is 54189531.

135981450 is a `hidden beast` number, since 1 + 3 + 598 + 14 + 50 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10272 + ... + 19428.

It is an arithmetic number, because the mean of its divisors is an integer number (4258470).

Almost surely, 2135981450 is an apocalyptic number.

135981450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135981450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204406560).

135981450 is an abundant number, since it is smaller than the sum of its proper divisors (272831670).

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

135981450 is a wasteful number, since it uses less digits than its factorization.

135981450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189 (or 9178 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 135981450 is about 11661.1084378802. The cubic root of 135981450 is about 514.2329360521.

The spelling of 135981450 in words is "one hundred thirty-five million, nine hundred eighty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 150 165 198 225 270 275 297 330 450 495 550 594 675 825 990 1350 1485 1650 2475 2970 4950 7425 9157 14850 18314 27471 45785 54942 82413 91570 100727 137355 164826 201454 228925 247239 274710 302181 412065 457850 494478 503635 604362 686775 824130 906543 1007270 1236195 1373550 1510905 1813086 2060325 2472390 2518175 2719629 3021810 4120650 4532715 5036350 5439258 6180975 7554525 9065430 12361950 13598145 15109050 22663575 27196290 45327150 67990725 135981450