152074220873664 has 224 divisors, whose sum is σ = 419293621152000. Its totient is φ = 48584191574016.

The previous prime is 152074220873651. The next prime is 152074220873677. The reversal of 152074220873664 is 466378022470251.

It is a happy number.

152074220873664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152074220873651) and next prime (152074220873677).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8577701152 + ... + 8577718880.

It is an arithmetic number, because the mean of its divisors is an integer number (1871846523000).

Almost surely, 2^{152074220873664} 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 152074220873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209646810576000).

152074220873664 is an abundant number, since it is smaller than the sum of its proper divisors (267219400278336).

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

152074220873664 is a wasteful number, since it uses less digits than its factorization.

152074220873664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28995 (or 28985 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 152074220873664 in words is "one hundred fifty-two trillion, seventy-four billion, two hundred twenty million, eight hundred seventy-three thousand, six hundred sixty-four".