254121422100139 has 64 divisors (see below), whose sum is σ = 317486372428800. Its totient is φ = 200320700313600.

The previous prime is 254121422100109. The next prime is 254121422100167. The reversal of 254121422100139 is 931001224121452.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 254121422100139 - 2⁵ = 254121422100107 is a prime.

It is a super-3 number, since 3×254121422100139³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 254121422100098 and 254121422100107.

It is not an unprimeable number, because it can be changed into a prime (254121422100109) 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 63 ways as a sum of consecutive naturals, for example, 267574959 + ... + 268522999.

It is an arithmetic number, because the mean of its divisors is an integer number (4960724569200).

Almost surely, 2^{254121422100139} is an apocalyptic number.

254121422100139 is a deficient number, since it is larger than the sum of its proper divisors (63364950328661).

254121422100139 is a wasteful number, since it uses less digits than its factorization.

254121422100139 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950164.

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 254121422100139 in words is "two hundred fifty-four trillion, one hundred twenty-one billion, four hundred twenty-two million, one hundred thousand, one hundred thirty-nine".