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135145344 = 273353997
BaseRepresentation
bin10000000111000…
…10011110000000
3100102022002120010
420003202132000
5234044122334
621224344520
73230500515
oct1003423600
9312262503
10135145344
116a316774
1239315140
1321cca779
1413d3d30c
15bce80e9
hex80e2780

135145344 has 64 divisors (see below), whose sum is σ = 360357840. Its totient is φ = 44875776.

The previous prime is 135145333. The next prime is 135145369. The reversal of 135145344 is 443541531.

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

It is a congruent number.

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, 135054 + ... + 136050.

Almost surely, 2135145344 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 135145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180178920).

135145344 is an abundant number, since it is smaller than the sum of its proper divisors (225212496).

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

135145344 is an equidigital number, since it uses as much as digits as its factorization.

135145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1355 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 135145344 is about 11625.2029659701. The cubic root of 135145344 is about 513.1768177842.

Adding to 135145344 its reverse (443541531), we get a palindrome (578686875).

The spelling of 135145344 in words is "one hundred thirty-five million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 353 384 706 997 1059 1412 1994 2118 2824 2991 3988 4236 5648 5982 7976 8472 11296 11964 15952 16944 22592 23928 31904 33888 45184 47856 63808 67776 95712 127616 135552 191424 351941 382848 703882 1055823 1407764 2111646 2815528 4223292 5631056 8446584 11262112 16893168 22524224 33786336 45048448 67572672 135145344