1372144000257 has 6 divisors (see below), whose sum is σ = 1981985778162. Its totient is φ = 914762666832.

The previous prime is 1372144000243. The next prime is 1372144000273. The reversal of 1372144000257 is 7520004412731.

1372144000257 is a `hidden beast` number, since 1 + 37 + 214 + 400 + 0 + 2 + 5 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1341603292176 + 30540708081 = 1158276^2 + 174759^2 .

It is not a de Polignac number, because 1372144000257 - 2¹⁵ = 1372143967489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1372144000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76230222228 + ... + 76230222245.

It is an arithmetic number, because the mean of its divisors is an integer number (330330963027).

Almost surely, 2^{1372144000257} is an apocalyptic number.

It is an amenable number.

1372144000257 is a deficient number, since it is larger than the sum of its proper divisors (609841777905).

1372144000257 is a wasteful number, since it uses less digits than its factorization.

1372144000257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152460444479 (or 152460444476 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 1372144000257 its reverse (7520004412731), we get a palindrome (8892148412988).

The spelling of 1372144000257 in words is "one trillion, three hundred seventy-two billion, one hundred forty-four million, two hundred fifty-seven", and thus it is an aban number.