127501337139201 has 27 divisors (see below), whose sum is σ = 187240284359427. Its totient is φ = 83606079191760.

The previous prime is 127501337139161. The next prime is 127501337139227. The reversal of 127501337139201 is 102931733105721.

The square root of 127501337139201 is 11291649.

It is a perfect power (a square), and thus also a powerful number.

127501337139201 is a `hidden beast` number, since 1 + 2 + 7 + 501 + 3 + 3 + 7 + 139 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4146106367601 + 123355230771600 = 2036199^2 + 11106540^2 .

It is not a de Polignac number, because 127501337139201 - 2³⁷ = 127363898185729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127501337139601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2066340916 + ... + 2066402618.

Almost surely, 2^{127501337139201} is an apocalyptic number.

127501337139201 is the 11291649-th square number.

127501337139201 is the 5645825-th centered octagonal number.

It is an amenable number.

127501337139201 is a deficient number, since it is larger than the sum of its proper divisors (59738947220226).

127501337139201 is an frugal number, since it uses more digits than its factorization.

127501337139201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123534 (or 61767 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 127501337139201 in words is "one hundred twenty-seven trillion, five hundred one billion, three hundred thirty-seven million, one hundred thirty-nine thousand, two hundred one".