127766538 has 32 divisors (see below), whose sum is σ = 284368320. Its totient is φ = 42522480.

The previous prime is 127766497. The next prime is 127766563. The reversal of 127766538 is 835667721.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 127766493 and 127766502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43228 + ... + 46088.

It is an arithmetic number, because the mean of its divisors is an integer number (8886510).

Almost surely, 2^127766538 is an apocalyptic number.

127766538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

127766538 is an abundant number, since it is smaller than the sum of its proper divisors (156601782).

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

127766538 is a wasteful number, since it uses less digits than its factorization.

127766538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3693 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 127766538 is about 11303.3861298285. The cubic root of 127766538 is about 503.6618338108.

The spelling of 127766538 in words is "one hundred twenty-seven million, seven hundred sixty-six thousand, five hundred thirty-eight".