152853190440 has 192 divisors, whose sum is σ = 486448364160. Its totient is φ = 38417379840.

The previous prime is 152853190417. The next prime is 152853190513. The reversal of 152853190440 is 44091358251.

It is a junction number, because it is equal to n+sod(n) for n = 152853190392 and 152853190401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8525085 + ... + 8542995.

It is an arithmetic number, because the mean of its divisors is an integer number (2533585230).

Almost surely, 2^152853190440 is an apocalyptic number.

152853190440 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 152853190440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243224182080).

152853190440 is an abundant number, since it is smaller than the sum of its proper divisors (333595173720).

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

152853190440 is a wasteful number, since it uses less digits than its factorization.

152853190440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18160 (or 18137 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 152853190440 in words is "one hundred fifty-two billion, eight hundred fifty-three million, one hundred ninety thousand, four hundred forty".