152105216472 has 128 divisors (see below), whose sum is σ = 463472755200. Its totient is φ = 45837705600.

The previous prime is 152105216467. The next prime is 152105216477. The reversal of 152105216472 is 274612501251.

152105216472 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 0 + 5 + 2 + 1 + 647 + 2 = 666.

152105216472 is digitally balanced in base 2, 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 (152105216467) and next prime (152105216477).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152105216477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253213 + ... + 606899.

It is an arithmetic number, because the mean of its divisors is an integer number (3620880900).

Almost surely, 2^152105216472 is an apocalyptic number.

152105216472 is a gapful number since it is divisible by the number (12) 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 152105216472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231736377600).

152105216472 is an abundant number, since it is smaller than the sum of its proper divisors (311367538728).

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

152105216472 is a wasteful number, since it uses less digits than its factorization.

152105216472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353894 (or 353884 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 152105216472 in words is "one hundred fifty-two billion, one hundred five million, two hundred sixteen thousand, four hundred seventy-two".