221140000152 has 256 divisors, whose sum is σ = 647165030400. Its totient is φ = 69880320000.

The previous prime is 221140000141. The next prime is 221140000187. The reversal of 221140000152 is 251000041122.

221140000152 is a `hidden beast` number, since 2 + 211 + 400 + 0 + 0 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65599027 + ... + 65602397.

It is an arithmetic number, because the mean of its divisors is an integer number (2527988400).

Almost surely, 2^221140000152 is an apocalyptic number.

221140000152 is the 235128-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221140000152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323582515200).

221140000152 is an abundant number, since it is smaller than the sum of its proper divisors (426025030248).

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

221140000152 is a wasteful number, since it uses less digits than its factorization.

221140000152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 221140000152 its reverse (251000041122), we get a palindrome (472140041274).

The spelling of 221140000152 in words is "two hundred twenty-one billion, one hundred forty million, one hundred fifty-two", and thus it is an aban number.