128679525 has 144 divisors (see below), whose sum is σ = 270138960. Its totient is φ = 58060800.

The previous prime is 128679487. The next prime is 128679547. The reversal of 128679525 is 525976821.

It can be written as a sum of positive squares in 24 ways, for example, as 108618084 + 20061441 = 10422^2 + 4479^2 .

It is not a de Polignac number, because 128679525 - 2⁶ = 128679461 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3138505 + ... + 3138545.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965).

Almost surely, 2^128679525 is an apocalyptic number.

128679525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128679525 is an abundant number, since it is smaller than the sum of its proper divisors (141459435).

128679525 is a wasteful number, since it uses less digits than its factorization.

128679525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 128679525 is about 11343.6997932773. The cubic root of 128679525 is about 504.8586671120.

The spelling of 128679525 in words is "one hundred twenty-eight million, six hundred seventy-nine thousand, five hundred twenty-five".