139704958134144 has 2048 divisors, whose sum is σ = 498021511680000. Its totient is φ = 38141096361984.

The previous prime is 139704958134139. The next prime is 139704958134149. The reversal of 139704958134144 is 441431859407931.

139704958134144 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 0 + 4 + 9 + 581 + 3 + 4 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (139704958134139) and next prime (139704958134149).

It is a super-2 number, since 2×139704958134144² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139704958134149) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 207585375792 + ... + 207585376464.

It is an arithmetic number, because the mean of its divisors is an integer number (243174566250).

Almost surely, 2^{139704958134144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139704958134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249010755840000).

139704958134144 is an abundant number, since it is smaller than the sum of its proper divisors (358316553545856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

139704958134144 is a wasteful number, since it uses less digits than its factorization.

139704958134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 139704958134144 in words is "one hundred thirty-nine trillion, seven hundred four billion, nine hundred fifty-eight million, one hundred thirty-four thousand, one hundred forty-four".