135423435123220 has 72 divisors (see below), whose sum is σ = 297316825067304. Its totient is φ = 51809780487168.

The previous prime is 135423435123203. The next prime is 135423435123239. The reversal of 135423435123220 is 22321534324531.

It can be written as a sum of positive squares in 4 ways, for example, as 98483830905604 + 36939604217616 = 9923902^2 + 6077796^2 .

It is a super-3 number, since 3×135423435123220³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125332312 + ... + 126408208.

It is an arithmetic number, because the mean of its divisors is an integer number (4129400348157).

Almost surely, 2^{135423435123220} is an apocalyptic number.

135423435123220 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 135423435123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148658412533652).

135423435123220 is an abundant number, since it is smaller than the sum of its proper divisors (161893389944084).

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

135423435123220 is a wasteful number, since it uses less digits than its factorization.

135423435123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087849 (or 1087824 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 135423435123220 its reverse (22321534324531), we get a palindrome (157744969447751).

The spelling of 135423435123220 in words is "one hundred thirty-five trillion, four hundred twenty-three billion, four hundred thirty-five million, one hundred twenty-three thousand, two hundred twenty".