10144272004155 has 24 divisors (see below), whose sum is σ = 17656365012000. Its totient is φ = 5387829108480.

The previous prime is 10144272004123. The next prime is 10144272004159. The reversal of 10144272004155 is 55140027244101.

10144272004155 is a `hidden beast` number, since 1 + 0 + 1 + 442 + 7 + 200 + 4 + 1 + 5 + 5 = 666.

It is not a de Polignac number, because 10144272004155 - 2⁵ = 10144272004123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10144272004159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467682655 + ... + 467704344.

It is an arithmetic number, because the mean of its divisors is an integer number (735681875500).

Almost surely, 2^{10144272004155} is an apocalyptic number.

10144272004155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10144272004155 is a deficient number, since it is larger than the sum of its proper divisors (7512093007845).

10144272004155 is a wasteful number, since it uses less digits than its factorization.

10144272004155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935387251 (or 935387248 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 10144272004155 its reverse (55140027244101), we get a palindrome (65284299248256).

The spelling of 10144272004155 in words is "ten trillion, one hundred forty-four billion, two hundred seventy-two million, four thousand, one hundred fifty-five".