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135131440 = 245232712
BaseRepresentation
bin10000000110111…
…11000100110000
3100102021101111011
420003133010300
5234043201230
621224200304
73230412133
oct1003370460
9312241434
10135131440
116a307284
1239309094
1321cc4342
1413d3821a
15bce3e2a
hex80df130

135131440 has 60 divisors (see below), whose sum is σ = 329054832. Its totient is φ = 51511680.

The previous prime is 135131431. The next prime is 135131467. The reversal of 135131440 is 44131531.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498505 + ... + 498775.

Almost surely, 2135131440 is an apocalyptic number.

135131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164527416).

135131440 is an abundant number, since it is smaller than the sum of its proper divisors (193923392).

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

135131440 is an equidigital number, since it uses as much as digits as its factorization.

135131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 135131440 is about 11624.6049395238. The cubic root of 135131440 is about 513.1592183243.

Adding to 135131440 its reverse (44131531), we get a palindrome (179262971).

Subtracting from 135131440 its reverse (44131531), we obtain a palindrome (90999909).

The spelling of 135131440 in words is "one hundred thirty-five million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 271 368 460 542 920 1084 1355 1840 2168 2710 4336 5420 6233 10840 12466 21680 24932 31165 49864 62330 73441 99728 124660 146882 249320 293764 367205 498640 587528 734410 1175056 1468820 1689143 2937640 3378286 5875280 6756572 8445715 13513144 16891430 27026288 33782860 67565720 135131440