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135203104260 = 2233571731671013
BaseRepresentation
bin111110111101010111…
…0111010011000000100
3110220222112111022212000
41331322232322120010
54203343443314020
6142040023425300
712524313265350
oct1757256723004
9426875438760
10135203104260
115238069a3a4
12222532b5230
13c998b36653
14678851a460
1537b4a39090
hex1f7abba604

135203104260 has 768 divisors, whose sum is σ = 533787770880. Its totient is φ = 27699978240.

The previous prime is 135203104259. The next prime is 135203104273. The reversal of 135203104260 is 62401302531.

135203104260 is a `hidden beast` number, since 1 + 35 + 203 + 1 + 0 + 426 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 133467514 + ... + 133468526.

It is an arithmetic number, because the mean of its divisors is an integer number (695036160).

Almost surely, 2135203104260 is an apocalyptic number.

135203104260 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 135203104260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266893885440).

135203104260 is an abundant number, since it is smaller than the sum of its proper divisors (398584666620).

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

135203104260 is a wasteful number, since it uses less digits than its factorization.

135203104260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 135203104260 its reverse (62401302531), we get a palindrome (197604406791).

The spelling of 135203104260 in words is "one hundred thirty-five billion, two hundred three million, one hundred four thousand, two hundred sixty".