128667825 has 192 divisors, whose sum is σ = 293314560. Its totient is φ = 54432000.

The previous prime is 128667817. The next prime is 128667857. The reversal of 128667825 is 528766821.

It is not a de Polignac number, because 128667825 - 2³ = 128667817 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2992254 + ... + 2992296.

It is an arithmetic number, because the mean of its divisors is an integer number (1527680).

Almost surely, 2^128667825 is an apocalyptic number.

128667825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128667825 is an abundant number, since it is smaller than the sum of its proper divisors (164646735).

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

128667825 is a wasteful number, since it uses less digits than its factorization.

128667825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 128667825 is about 11343.1840767925. The cubic root of 128667825 is about 504.8433654665.

The spelling of 128667825 in words is "one hundred twenty-eight million, six hundred sixty-seven thousand, eight hundred twenty-five".