128148249600 has 594 divisors, whose sum is σ = 533789623224. Its totient is φ = 29288448000.

The previous prime is 128148249577. The next prime is 128148249601. The reversal of 128148249600 is 6942841821.

128148249600 is a `hidden beast` number, since 1 + 2 + 8 + 14 + 8 + 24 + 9 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128148249601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11283925 + ... + 11295275.

Almost surely, 2^128148249600 is an apocalyptic number.

128148249600 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 128148249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266894811612).

128148249600 is an abundant number, since it is smaller than the sum of its proper divisors (405641373624).

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

128148249600 is a wasteful number, since it uses less digits than its factorization.

128148249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11401 (or 11368 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 128148249600 in words is "one hundred twenty-eight billion, one hundred forty-eight million, two hundred forty-nine thousand, six hundred".