127505147 has 16 divisors (see below), whose sum is σ = 159650304. Its totient is φ = 98928000.

The previous prime is 127505129. The next prime is 127505149. The reversal of 127505147 is 741505721.

It is a cyclic number.

It is not a de Polignac number, because 127505147 - 2¹² = 127501051 is a prime.

It is a super-2 number, since 2×127505147² = 32515125022983218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127505149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15122 + ... + 21992.

It is an arithmetic number, because the mean of its divisors is an integer number (9978144).

Almost surely, 2^127505147 is an apocalyptic number.

127505147 is a deficient number, since it is larger than the sum of its proper divisors (32145157).

127505147 is a wasteful number, since it uses less digits than its factorization.

127505147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130.

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 127505147 is about 11291.8177013269. The cubic root of 127505147 is about 503.3181273518.

The spelling of 127505147 in words is "one hundred twenty-seven million, five hundred five thousand, one hundred forty-seven".