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135130020 = 223511811907
BaseRepresentation
bin10000000110111…
…10101110100100
3100102021022112120
420003132232210
5234043130040
621224145540
73230405034
oct1003365644
9312238476
10135130020
116a306203
12393082b0
1321cc37bc
1413d378c4
15bce37d0
hex80deba4

135130020 has 48 divisors (see below), whose sum is σ = 378883008. Its totient is φ = 35985280.

The previous prime is 135130013. The next prime is 135130027. The reversal of 135130020 is 20031531.

It is a happy number.

135130020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135130013) and next prime (135130027).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (135130027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69907 + ... + 71813.

It is an arithmetic number, because the mean of its divisors is an integer number (7893396).

Almost surely, 2135130020 is an apocalyptic number.

135130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135130020 is an abundant number, since it is smaller than the sum of its proper divisors (243752988).

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

135130020 is a wasteful number, since it uses less digits than its factorization.

135130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 135130020 is about 11624.5438620188. The cubic root of 135130020 is about 513.1574208432.

Adding to 135130020 its reverse (20031531), we get a palindrome (155161551).

The spelling of 135130020 in words is "one hundred thirty-five million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1181 1907 2362 3543 3814 4724 5721 5905 7086 7628 9535 11442 11810 14172 17715 19070 22884 23620 28605 35430 38140 57210 70860 114420 2252167 4504334 6756501 9008668 11260835 13513002 22521670 27026004 33782505 45043340 67565010 135130020