135585074156250 has 224 divisors, whose sum is σ = 339984046898496. Its totient is φ = 36046800000000.

The previous prime is 135585074156243. The next prime is 135585074156291. The reversal of 135585074156250 is 52651470585531.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 72856030320 + ... + 72856032180.

It is an arithmetic number, because the mean of its divisors is an integer number (1517785923654).

Almost surely, 2^{135585074156250} is an apocalyptic number.

135585074156250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135585074156250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169992023449248).

135585074156250 is an abundant number, since it is smaller than the sum of its proper divisors (204398972742246).

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

135585074156250 is an equidigital number, since it uses as much as digits as its factorization.

135585074156250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 25200000, while the sum is 57.

The spelling of 135585074156250 in words is "one hundred thirty-five trillion, five hundred eighty-five billion, seventy-four million, one hundred fifty-six thousand, two hundred fifty".