128725148160 has 1440 divisors, whose sum is σ = 556270146432. Its totient is φ = 28426567680.

The previous prime is 128725148137. The next prime is 128725148161. The reversal of 128725148160 is 61841527821.

128725148160 is a `hidden beast` number, since 1 + 2 + 8 + 72 + 514 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (128725148161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1249758669 + ... + 1249758771.

Almost surely, 2^128725148160 is an apocalyptic number.

128725148160 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 128725148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278135073216).

128725148160 is an abundant number, since it is smaller than the sum of its proper divisors (427544998272).

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

128725148160 is an equidigital number, since it uses as much as digits as its factorization.

128725148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 128725148160 in words is "one hundred twenty-eight billion, seven hundred twenty-five million, one hundred forty-eight thousand, one hundred sixty".