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135990448 = 24112193697
BaseRepresentation
bin10000001101100…
…00110010110000
3100110220000211021
420012300302300
5234303143243
621254425224
73240620416
oct1006606260
9313800737
10135990448
116a843700
1239662214
1322235329
14140bd2b6
15be136ed
hex81b0cb0

135990448 has 60 divisors (see below), whose sum is σ = 304937080. Its totient is φ = 58544640.

The previous prime is 135990443. The next prime is 135990451. The reversal of 135990448 is 844099531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135990443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34936 + ... + 38632.

Almost surely, 2135990448 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 135990448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152468540).

135990448 is an abundant number, since it is smaller than the sum of its proper divisors (168946632).

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

135990448 is a wasteful number, since it uses less digits than its factorization.

135990448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 135990448 is about 11661.4942438780. The cubic root of 135990448 is about 514.2442782018.

The spelling of 135990448 in words is "one hundred thirty-five million, nine hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 418 484 836 968 1672 1936 2299 3344 3697 4598 7394 9196 14788 18392 29576 36784 40667 59152 70243 81334 140486 162668 280972 325336 447337 561944 650672 772673 894674 1123888 1545346 1789348 3090692 3578696 6181384 7157392 8499403 12362768 16998806 33997612 67995224 135990448