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135129680020 = 22534129197969
BaseRepresentation
bin111110111011001011…
…0110100100010010100
3110220210102022222201201
41331312112310202110
54203221144230040
6142024442002244
712522432220456
oct1756626644224
9426712288651
10135129680020
11523431aa705
12222327a6384
13c98686935a
14677c8862d6
1537ad383a9a
hex1f765b4894

135129680020 has 24 divisors (see below), whose sum is σ = 283782076200. Its totient is φ = 54050015232.

The previous prime is 135129680003. The next prime is 135129680029. The reversal of 135129680020 is 20086921531.

It can be written as a sum of positive squares in 4 ways, for example, as 5251611024 + 129878068996 = 72468^2 + 360386^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135129680029) 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, 583596 + ... + 781564.

It is an arithmetic number, because the mean of its divisors is an integer number (11824253175).

Almost surely, 2135129680020 is an apocalyptic number.

135129680020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135129680020 is an abundant number, since it is smaller than the sum of its proper divisors (148652396180).

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

135129680020 is a wasteful number, since it uses less digits than its factorization.

135129680020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232107 (or 232105 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 135129680020 in words is "one hundred thirty-five billion, one hundred twenty-nine million, six hundred eighty thousand, twenty".

Divisors: 1 2 4 5 10 20 34129 68258 136516 170645 197969 341290 395938 682580 791876 989845 1979690 3959380 6756484001 13512968002 27025936004 33782420005 67564840010 135129680020