128506140 has 144 divisors (see below), whose sum is σ = 451476480. Its totient is φ = 28978560.

The previous prime is 128506127. The next prime is 128506187. The reversal of 128506140 is 41605821.

128506140 is a `hidden beast` number, since 12 + 8 + 506 + 140 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98895 + ... + 100185.

Almost surely, 2^128506140 is an apocalyptic number.

128506140 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 128506140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225738240).

128506140 is an abundant number, since it is smaller than the sum of its proper divisors (322970340).

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

128506140 is a wasteful number, since it uses less digits than its factorization.

128506140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 128506140 is about 11336.0548693097. The cubic root of 128506140 is about 504.6318134490.

The spelling of 128506140 in words is "one hundred twenty-eight million, five hundred six thousand, one hundred forty".