135788913122500 has 135 divisors (see below), whose sum is σ = 326407513166427. Its totient is φ = 49375456020000.

The previous prime is 135788913122483. The next prime is 135788913122503. The reversal of 135788913122500 is 5221319887531.

The square root of 135788913122500 is 11652850.

It is a perfect power (a square), and thus also a powerful number.

135788913122500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10645850788804 + 125143062333696 = 3262798^2 + 11186736^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (135788913122503) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6409056907 + ... + 6409078093.

Almost surely, 2^{135788913122500} is an apocalyptic number.

135788913122500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135788913122500 is the 11652850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135788913122500

135788913122500 is an abundant number, since it is smaller than the sum of its proper divisors (190618600043927).

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

135788913122500 is an frugal number, since it uses more digits than its factorization.

135788913122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42420 (or 21205 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 135788913122500 in words is "one hundred thirty-five trillion, seven hundred eighty-eight billion, nine hundred thirteen million, one hundred twenty-two thousand, five hundred".