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135342134130 = 235721012573547
BaseRepresentation
bin111111000001100000…
…1010001001101110010
3110221100020002202222110
41332003001101031302
54204140041243010
6142101511350150
712530622105300
oct1760301211562
9427306082873
10135342134130
1152442119615
1222291982356
13c9bb894248
14679cb8b270
1537c1d4d120
hex1f83051372

135342134130 has 192 divisors, whose sum is σ = 383187065472. Its totient is φ = 30501273600.

The previous prime is 135342134117. The next prime is 135342134149. The reversal of 135342134130 is 31431243531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38155017 + ... + 38158563.

It is an arithmetic number, because the mean of its divisors is an integer number (1995765966).

Almost surely, 2135342134130 is an apocalyptic number.

135342134130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135342134130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191593532736).

135342134130 is an abundant number, since it is smaller than the sum of its proper divisors (247844931342).

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

135342134130 is a wasteful number, since it uses less digits than its factorization.

135342134130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 135342134130 its reverse (31431243531), we get a palindrome (166773377661).

The spelling of 135342134130 in words is "one hundred thirty-five billion, three hundred forty-two million, one hundred thirty-four thousand, one hundred thirty".