135100513556260 has 288 divisors, whose sum is σ = 338393026363392. Its totient is φ = 44336779073280.

The previous prime is 135100513556147. The next prime is 135100513556263. The reversal of 135100513556260 is 62655315001531.

It is not an unprimeable number, because it can be changed into a prime (135100513556263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59073244837 + ... + 59073247123.

It is an arithmetic number, because the mean of its divisors is an integer number (1174975785984).

Almost surely, 2^{135100513556260} is an apocalyptic number.

135100513556260 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 135100513556260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169196513181696).

135100513556260 is an abundant number, since it is smaller than the sum of its proper divisors (203292512807132).

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

135100513556260 is a wasteful number, since it uses less digits than its factorization.

135100513556260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 43.

Adding to 135100513556260 its reverse (62655315001531), we get a palindrome (197755828557791).

The spelling of 135100513556260 in words is "one hundred thirty-five trillion, one hundred billion, five hundred thirteen million, five hundred fifty-six thousand, two hundred sixty".