153006319872 has 360 divisors, whose sum is σ = 529229830976. Its totient is φ = 43060875264.

The previous prime is 153006319867. The next prime is 153006319883. The reversal of 153006319872 is 278913600351.

153006319872 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 0 + 631 + 9 + 8 + 7 + 2 = 666.

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 39 ways as a sum of consecutive naturals, for example, 9717318 + ... + 9733050.

Almost surely, 2^153006319872 is an apocalyptic number.

153006319872 is a gapful number since it is divisible by the number (12) 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 153006319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264614915488).

153006319872 is an abundant number, since it is smaller than the sum of its proper divisors (376223511104).

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

153006319872 is an equidigital number, since it uses as much as digits as its factorization.

153006319872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15835 (or 15812 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

It can be divided in two parts, 153006 and 319872, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 153006319872 in words is "one hundred fifty-three billion, six million, three hundred nineteen thousand, eight hundred seventy-two".