127545840 has 140 divisors (see below), whose sum is σ = 444816024. Its totient is φ = 34012224.

The previous prime is 127545839. The next prime is 127545853. The reversal of 127545840 is 48545721.

127545840 is a `hidden beast` number, since 1 + 2 + 75 + 4 + 584 + 0 = 666.

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

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 127545795 and 127545804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25509166 + ... + 25509170.

Almost surely, 2^127545840 is an apocalyptic number.

127545840 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 127545840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222408012).

127545840 is an abundant number, since it is smaller than the sum of its proper divisors (317270184).

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

127545840 is an frugal number, since it uses more digits than its factorization.

127545840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 127545840 is about 11293.6194375408. The cubic root of 127545840 is about 503.3716659645.

The spelling of 127545840 in words is "one hundred twenty-seven million, five hundred forty-five thousand, eight hundred forty".