135124550120220 has 288 divisors, whose sum is σ = 402970535005248. Its totient is φ = 33823973965824.

The previous prime is 135124550120143. The next prime is 135124550120227. The reversal of 135124550120220 is 22021055421531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135124550120227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10223535052 + ... + 10223548268.

It is an arithmetic number, because the mean of its divisors is an integer number (1399203246546).

Almost surely, 2^{135124550120220} is an apocalyptic number.

135124550120220 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 135124550120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201485267502624).

135124550120220 is an abundant number, since it is smaller than the sum of its proper divisors (267845984885028).

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

135124550120220 is a wasteful number, since it uses less digits than its factorization.

135124550120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17557 (or 17536 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 135124550120220 in words is "one hundred thirty-five trillion, one hundred twenty-four billion, five hundred fifty million, one hundred twenty thousand, two hundred twenty".