151272030063744 has 384 divisors, whose sum is σ = 462724547201280. Its totient is φ = 47270882672640.

The previous prime is 151272030063731. The next prime is 151272030063769. The reversal of 151272030063744 is 447360030272151.

It is a happy number.

151272030063744 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 7 + 2 + 0 + 3 + 0 + 0 + 637 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 151272030063744.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20123985874 + ... + 20123993390.

It is an arithmetic number, because the mean of its divisors is an integer number (1205011841670).

Almost surely, 2^{151272030063744} 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 151272030063744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231362273600640).

151272030063744 is an abundant number, since it is smaller than the sum of its proper divisors (311452517137536).

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

151272030063744 is a wasteful number, since it uses less digits than its factorization.

151272030063744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11468 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 151272030063744 in words is "one hundred fifty-one trillion, two hundred seventy-two billion, thirty million, sixty-three thousand, seven hundred forty-four".