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135124032 = 2636011171
BaseRepresentation
bin10000000110111…
…01010001000000
3100102021000022210
420003131101000
5234042432112
621224102120
73230351421
oct1003352100
9312230283
10135124032
116a30175a
1239304940
1321cc0b64
1413d35648
15bce1b3c
hex80dd440

135124032 has 56 divisors (see below), whose sum is σ = 358416352. Its totient is φ = 44928000.

The previous prime is 135124019. The next prime is 135124039. The reversal of 135124032 is 230421531.

It is not an unprimeable number, because it can be changed into a prime (135124039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114807 + ... + 115977.

It is an arithmetic number, because the mean of its divisors is an integer number (6400292).

Almost surely, 2135124032 is an apocalyptic number.

135124032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135124032 is an abundant number, since it is smaller than the sum of its proper divisors (223292320).

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

135124032 is a wasteful number, since it uses less digits than its factorization.

135124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 135124032 is about 11624.2863006724. The cubic root of 135124032 is about 513.1498409039.

Adding to 135124032 its reverse (230421531), we get a palindrome (365545563).

The spelling of 135124032 in words is "one hundred thirty-five million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 601 1171 1202 1803 2342 2404 3513 3606 4684 4808 7026 7212 9368 9616 14052 14424 18736 19232 28104 28848 37472 38464 56208 57696 74944 112416 115392 224832 703771 1407542 2111313 2815084 4222626 5630168 8445252 11260336 16890504 22520672 33781008 45041344 67562016 135124032