128874240 has 360 divisors, whose sum is σ = 507508848. Its totient is φ = 30965760.

The previous prime is 128874227. The next prime is 128874241. The reversal of 128874240 is 42478821.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128874195 and 128874204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128874241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140424 + ... + 1140536.

Almost surely, 2^128874240 is an apocalyptic number.

128874240 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 128874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253754424).

128874240 is an abundant number, since it is smaller than the sum of its proper divisors (378634608).

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

128874240 is a wasteful number, since it uses less digits than its factorization.

128874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 128874240 is about 11352.2790663373. The cubic root of 128874240 is about 505.1131857529.

The spelling of 128874240 in words is "one hundred twenty-eight million, eight hundred seventy-four thousand, two hundred forty".