135052641600 has 168 divisors, whose sum is σ = 443373601440. Its totient is φ = 35990599680.

The previous prime is 135052641593. The next prime is 135052641641. The reversal of 135052641600 is 6146250531.

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, 8118091 + ... + 8134709.

It is an arithmetic number, because the mean of its divisors is an integer number (2639128580).

Almost surely, 2^135052641600 is an apocalyptic number.

135052641600 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 135052641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221686800720).

135052641600 is an abundant number, since it is smaller than the sum of its proper divisors (308320959840).

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

135052641600 is a wasteful number, since it uses less digits than its factorization.

135052641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18337 (or 18322 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 135052641600 in words is "one hundred thirty-five billion, fifty-two million, six hundred forty-one thousand, six hundred".