135253552500 has 180 divisors, whose sum is σ = 466066560960. Its totient is φ = 32788680000.

The previous prime is 135253552471. The next prime is 135253552519. The reversal of 135253552500 is 5255352531.

135253552500 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 53 + 552 + 50 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25740 + ... + 520739.

It is an arithmetic number, because the mean of its divisors is an integer number (2589258672).

Almost surely, 2^135253552500 is an apocalyptic number.

135253552500 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 135253552500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233033280480).

135253552500 is an abundant number, since it is smaller than the sum of its proper divisors (330813008460).

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

135253552500 is a wasteful number, since it uses less digits than its factorization.

135253552500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546520 (or 546500 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 135253552500 in words is "one hundred thirty-five billion, two hundred fifty-three million, five hundred fifty-two thousand, five hundred".