135103142113600 has 168 divisors, whose sum is σ = 343915468860600. Its totient is φ = 52175654092800.

The previous prime is 135103142113573. The next prime is 135103142113627. The reversal of 135103142113600 is 6311241301531.

It is an interprime number because it is at equal distance from previous prime (135103142113573) and next prime (135103142113627).

It can be written as a sum of positive squares in 12 ways, for example, as 73233339291904 + 61869802821696 = 8557648^2 + 7865736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1636997136 + ... + 1637079664.

It is an arithmetic number, because the mean of its divisors is an integer number (2047115886075).

Almost surely, 2^{135103142113600} is an apocalyptic number.

135103142113600 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 135103142113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171957734430300).

135103142113600 is an abundant number, since it is smaller than the sum of its proper divisors (208812326747000).

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

135103142113600 is a wasteful number, since it uses less digits than its factorization.

135103142113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117861 (or 117846 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 135103142113600 in words is "one hundred thirty-five trillion, one hundred three billion, one hundred forty-two million, one hundred thirteen thousand, six hundred".