152162605056 has 384 divisors, whose sum is σ = 508848238080. Its totient is φ = 39282278400.

The previous prime is 152162604989. The next prime is 152162605069. The reversal of 152162605056 is 650506261251.

It is a happy number.

152162605056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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, 85628040 + ... + 85629816.

It is an arithmetic number, because the mean of its divisors is an integer number (1325125620).

Almost surely, 2^152162605056 is an apocalyptic number.

152162605056 is a gapful number since it is divisible by the number (16) 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 152162605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254424119040).

152162605056 is an abundant number, since it is smaller than the sum of its proper divisors (356685633024).

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

152162605056 is a wasteful number, since it uses less digits than its factorization.

152162605056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 152162605056 in words is "one hundred fifty-two billion, one hundred sixty-two million, six hundred five thousand, fifty-six".