220526840142 has 320 divisors, whose sum is σ = 602173440000. Its totient is φ = 60219319104.

The previous prime is 220526840137. The next prime is 220526840203. The reversal of 220526840142 is 241048625022.

220526840142 is a `hidden beast` number, since 2 + 205 + 2 + 6 + 8 + 401 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 220526840097 and 220526840106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 172420659 + ... + 172421937.

It is an arithmetic number, because the mean of its divisors is an integer number (1881792000).

Almost surely, 2^220526840142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220526840142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301086720000).

220526840142 is an abundant number, since it is smaller than the sum of its proper divisors (381646599858).

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

220526840142 is a wasteful number, since it uses less digits than its factorization.

220526840142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 220526840142 in words is "two hundred twenty billion, five hundred twenty-six million, eight hundred forty thousand, one hundred forty-two".