152166142080 has 512 divisors, whose sum is σ = 569306880000. Its totient is φ = 38305198080.

The previous prime is 152166142067. The next prime is 152166142087. The reversal of 152166142080 is 80241661251.

It is a happy number.

152166142080 is a `hidden beast` number, since 1 + 5 + 2 + 16 + 614 + 20 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (152166142087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117866235 + ... + 117867525.

It is an arithmetic number, because the mean of its divisors is an integer number (1111927500).

Almost surely, 2^152166142080 is an apocalyptic number.

152166142080 is a gapful number since it is divisible by the number (10) 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 152166142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284653440000).

152166142080 is an abundant number, since it is smaller than the sum of its proper divisors (417140737920).

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

152166142080 is a wasteful number, since it uses less digits than its factorization.

152166142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 152166142080 in words is "one hundred fifty-two billion, one hundred sixty-six million, one hundred forty-two thousand, eighty".