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135305431200 = 25325219795393
BaseRepresentation
bin111111000000011010…
…1010000100010100000
3110221020200001002000200
41332000311100202200
54204101142244300
6142054120545200
712526665121542
oct1760065204240
9427220032020
10135305431200
1152423430115
1222281622200
13c9b40b3334
146797d55692
1537bd9ed200
hex1f80d508a0

135305431200 has 216 divisors, whose sum is σ = 479547736668. Its totient is φ = 35897917440.

The previous prime is 135305431193. The next prime is 135305431223. The reversal of 135305431200 is 2134503531.

135305431200 is a `hidden beast` number, since 1 + 3 + 530 + 5 + 4 + 3 + 120 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 124408576656 + 10896854544 = 352716^2 + 104388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1370704 + ... + 1466096.

Almost surely, 2135305431200 is an apocalyptic number.

135305431200 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 135305431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239773868334).

135305431200 is an abundant number, since it is smaller than the sum of its proper divisors (344242305468).

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

135305431200 is a wasteful number, since it uses less digits than its factorization.

135305431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95616 (or 95600 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 135305431200 its reverse (2134503531), we get a palindrome (137439934731).

The spelling of 135305431200 in words is "one hundred thirty-five billion, three hundred five million, four hundred thirty-one thousand, two hundred".