153038422656 has 256 divisors, whose sum is σ = 543371136000. Its totient is φ = 41423809536.

The previous prime is 153038422651. The next prime is 153038422673. The reversal of 153038422656 is 656224830351.

153038422656 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 384 + 2 + 265 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (153038422651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293175 + ... + 626121.

It is an arithmetic number, because the mean of its divisors is an integer number (2122543500).

Almost surely, 2^153038422656 is an apocalyptic number.

153038422656 is a gapful number since it is divisible by the number (16) 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 153038422656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271685568000).

153038422656 is an abundant number, since it is smaller than the sum of its proper divisors (390332713344).

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

153038422656 is a wasteful number, since it uses less digits than its factorization.

153038422656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332996 (or 332978 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 153038422656 in words is "one hundred fifty-three billion, thirty-eight million, four hundred twenty-two thousand, six hundred fifty-six".