15144142156104 has 192 divisors, whose sum is σ = 41579239680000. Its totient is φ = 4593706580736.

The previous prime is 15144142156079. The next prime is 15144142156193. The reversal of 15144142156104 is 40165124144151.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211123557 + ... + 211195275.

It is an arithmetic number, because the mean of its divisors is an integer number (216558540000).

Almost surely, 2^{15144142156104} 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 15144142156104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20789619840000).

15144142156104 is an abundant number, since it is smaller than the sum of its proper divisors (26435097523896).

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

15144142156104 is a wasteful number, since it uses less digits than its factorization.

15144142156104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72492 (or 72475 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 15144142156104 in words is "fifteen trillion, one hundred forty-four billion, one hundred forty-two million, one hundred fifty-six thousand, one hundred four".