152728152884160 has 448 divisors, whose sum is σ = 560999154465792. Its totient is φ = 34480260808704.

The previous prime is 152728152884147. The next prime is 152728152884161. The reversal of 152728152884160 is 61488251827251.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 152728152884094 and 152728152884103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152728152884161) 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 63 ways as a sum of consecutive naturals, for example, 2439053172 + ... + 2439115788.

It is an arithmetic number, because the mean of its divisors is an integer number (1252230255504).

Almost surely, 2^{152728152884160} is an apocalyptic number.

152728152884160 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 152728152884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280499577232896).

152728152884160 is an abundant number, since it is smaller than the sum of its proper divisors (408271001581632).

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

152728152884160 is a wasteful number, since it uses less digits than its factorization.

152728152884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67100 (or 67090 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 60.

The spelling of 152728152884160 in words is "one hundred fifty-two trillion, seven hundred twenty-eight billion, one hundred fifty-two million, eight hundred eighty-four thousand, one hundred sixty".