154971007177728 has 528 divisors, whose sum is σ = 483236551607040. Its totient is φ = 44025205948416.

The previous prime is 154971007177717. The next prime is 154971007177771. The reversal of 154971007177728 is 827771700179451.

154971007177728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20420474158 + ... + 20420481746.

It is an arithmetic number, because the mean of its divisors is an integer number (915220741680).

Almost surely, 2^{154971007177728} 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 154971007177728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241618275803520).

154971007177728 is an abundant number, since it is smaller than the sum of its proper divisors (328265544429312).

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

154971007177728 is a wasteful number, since it uses less digits than its factorization.

154971007177728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8382 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 48404160, while the sum is 66.

The spelling of 154971007177728 in words is "one hundred fifty-four trillion, nine hundred seventy-one billion, seven million, one hundred seventy-seven thousand, seven hundred twenty-eight".