127810540 has 192 divisors, whose sum is σ = 345461760. Its totient is φ = 39029760.

The previous prime is 127810523. The next prime is 127810589. The reversal of 127810540 is 45018721.

127810540 = 213² + 214² + ... + 732².

It is a junction number, because it is equal to n+sod(n) for n = 127810499 and 127810508.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1907587 + ... + 1907653.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 2^127810540 is an apocalyptic number.

127810540 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 127810540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

127810540 is an abundant number, since it is smaller than the sum of its proper divisors (217651220).

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

127810540 is a wasteful number, since it uses less digits than its factorization.

127810540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 127810540 is about 11305.3323701694. The cubic root of 127810540 is about 503.7196465075.

The spelling of 127810540 in words is "one hundred twenty-seven million, eight hundred ten thousand, five hundred forty".