153138166164 has 240 divisors, whose sum is σ = 418981871616. Its totient is φ = 48719361600.

The previous prime is 153138166163. The next prime is 153138166171. The reversal of 153138166164 is 461661831351.

153138166164 is a `hidden beast` number, since 1 + 5 + 3 + 13 + 8 + 16 + 616 + 4 = 666.

153138166164 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153138166163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 345684127 + ... + 345684569.

Almost surely, 2^153138166164 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 153138166164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209490935808).

153138166164 is an abundant number, since it is smaller than the sum of its proper divisors (265843705452).

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

153138166164 is a wasteful number, since it uses less digits than its factorization.

153138166164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 877 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 153138166164 in words is "one hundred fifty-three billion, one hundred thirty-eight million, one hundred sixty-six thousand, one hundred sixty-four".