127536057 has 54 divisors (see below), whose sum is σ = 217013706. Its totient is φ = 71871360.

The previous prime is 127536049. The next prime is 127536061. The reversal of 127536057 is 750635721.

It can be written as a sum of positive squares in only one way, i.e., 120033936 + 7502121 = 10956^2 + 2739^2 .

It is not a de Polignac number, because 127536057 - 2³ = 127536049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127536457) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1536538 + ... + 1536620.

Almost surely, 2^127536057 is an apocalyptic number.

127536057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

127536057 is a deficient number, since it is larger than the sum of its proper divisors (89477649).

127536057 is a wasteful number, since it uses less digits than its factorization.

127536057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 127536057 is about 11293.1863085668. The cubic root of 127536057 is about 503.3587957919.

The spelling of 127536057 in words is "one hundred twenty-seven million, five hundred thirty-six thousand, fifty-seven".