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135043205040 = 24325187560007
BaseRepresentation
bin111110111000100110…
…0111100011110110000
3110220120101121121100200
41331301030330132300
54203032030030130
6142012112315200
712520332206022
oct1756114743660
9426511547320
10135043205040
11522a9406787
1222209842b00
13c97197ca23
1467711b6012
1537a59a1760
hex1f7133c7b0

135043205040 has 60 divisors (see below), whose sum is σ = 453520099344. Its totient is φ = 36011521152.

The previous prime is 135043205029. The next prime is 135043205041. The reversal of 135043205040 is 40502340531.

135043205040 is a `hidden beast` number, since 135 + 0 + 4 + 3 + 20 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 135043204995 and 135043205013.

It is not an unprimeable number, because it can be changed into a prime (135043205041) 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, 93779284 + ... + 93780723.

Almost surely, 2135043205040 is an apocalyptic number.

135043205040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135043205040 is an abundant number, since it is smaller than the sum of its proper divisors (318476894304).

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

135043205040 is a wasteful number, since it uses less digits than its factorization.

135043205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187560026 (or 187560017 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 135043205040 its reverse (40502340531), we get a palindrome (175545545571).

The spelling of 135043205040 in words is "one hundred thirty-five billion, forty-three million, two hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 187560007 375120014 562680021 750240028 937800035 1125360042 1500480056 1688040063 1875600070 2250720084 2813400105 3000960112 3376080126 3751200140 4501440168 5626800210 6752160252 7502400280 8440200315 9002880336 11253600420 13504320504 15004800560 16880400630 22507200840 27008641008 33760801260 45014401680 67521602520 135043205040