135847229952 has 640 divisors, whose sum is σ = 456470784000. Its totient is φ = 35765452800.

The previous prime is 135847229941. The next prime is 135847230023. The reversal of 135847229952 is 259922748531.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 135847229892 and 135847229901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410414427 + ... + 410414757.

It is an arithmetic number, because the mean of its divisors is an integer number (713235600).

Almost surely, 2^135847229952 is an apocalyptic number.

135847229952 is a gapful number since it is divisible by the number (12) 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 135847229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228235392000).

135847229952 is an abundant number, since it is smaller than the sum of its proper divisors (320623554048).

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

135847229952 is an equidigital number, since it uses as much as digits as its factorization.

135847229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 403 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The spelling of 135847229952 in words is "one hundred thirty-five billion, eight hundred forty-seven million, two hundred twenty-nine thousand, nine hundred fifty-two".