153672977728 has 112 divisors (see below), whose sum is σ = 321881382144. Its totient is φ = 72711618560.

The previous prime is 153672977707. The next prime is 153672977737. The reversal of 153672977728 is 827779276351.

153672977728 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 153672977728.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13930551 + ... + 13941577.

It is an arithmetic number, because the mean of its divisors is an integer number (2873940912).

Almost surely, 2^153672977728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153672977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160940691072).

153672977728 is an abundant number, since it is smaller than the sum of its proper divisors (168208404416).

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

153672977728 is a wasteful number, since it uses less digits than its factorization.

153672977728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11240 (or 11230 counting only the distinct ones).

The product of its digits is 62233920, while the sum is 64.

The spelling of 153672977728 in words is "one hundred fifty-three billion, six hundred seventy-two million, nine hundred seventy-seven thousand, seven hundred twenty-eight".