152225722040 has 128 divisors (see below), whose sum is σ = 398738229120. Its totient is φ = 51222067200.

The previous prime is 152225722001. The next prime is 152225722043. The reversal of 152225722040 is 40227522251.

152225722040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 152225721988 and 152225722006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152225722043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7864214 + ... + 7883546.

It is an arithmetic number, because the mean of its divisors is an integer number (3115142415).

Almost surely, 2^152225722040 is an apocalyptic number.

152225722040 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 152225722040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199369114560).

152225722040 is an abundant number, since it is smaller than the sum of its proper divisors (246512507080).

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

152225722040 is a wasteful number, since it uses less digits than its factorization.

152225722040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19873 (or 19869 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The spelling of 152225722040 in words is "one hundred fifty-two billion, two hundred twenty-five million, seven hundred twenty-two thousand, forty".