15106506156144 has 480 divisors, whose sum is σ = 48782042749440. Its totient is φ = 4325036083200.

The previous prime is 15106506156113. The next prime is 15106506156191. The reversal of 15106506156144 is 44165160560151.

It is a happy number.

15106506156144 is a `hidden beast` number, since 1 + 5 + 10 + 6 + 5 + 0 + 6 + 15 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 15106506156144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1612043779 + ... + 1612053149.

It is an arithmetic number, because the mean of its divisors is an integer number (101629255728).

Almost surely, 2^{15106506156144} 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 15106506156144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24391021374720).

15106506156144 is an abundant number, since it is smaller than the sum of its proper divisors (33675536593296).

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

15106506156144 is a wasteful number, since it uses less digits than its factorization.

15106506156144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10221 (or 10212 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 15106506156144 in words is "fifteen trillion, one hundred six billion, five hundred six million, one hundred fifty-six thousand, one hundred forty-four".