135550410240 has 320 divisors, whose sum is σ = 496013253120. Its totient is φ = 30934794240.

The previous prime is 135550410239. The next prime is 135550410257. The reversal of 135550410240 is 42014055531.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135550410198 and 135550410207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43597806 + ... + 43600914.

It is an arithmetic number, because the mean of its divisors is an integer number (1550041416).

Almost surely, 2^135550410240 is an apocalyptic number.

135550410240 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 135550410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248006626560).

135550410240 is an abundant number, since it is smaller than the sum of its proper divisors (360462842880).

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

135550410240 is an equidigital number, since it uses as much as digits as its factorization.

135550410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 135550410240 its reverse (42014055531), we get a palindrome (177564465771).

The spelling of 135550410240 in words is "one hundred thirty-five billion, five hundred fifty million, four hundred ten thousand, two hundred forty".