151368384147552 has 576 divisors, whose sum is σ = 508673287100160. Its totient is φ = 42093092966400.

The previous prime is 151368384147499. The next prime is 151368384147637. The reversal of 151368384147552 is 255741483863151.

151368384147552 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 6 + 8 + 38 + 4 + 1 + 47 + 552 = 666.

It is a super-3 number, since 3×151368384147552³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 151368384147552.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 6516903363 + ... + 6516926589.

It is an arithmetic number, because the mean of its divisors is an integer number (883113345660).

Almost surely, 2^{151368384147552} is an apocalyptic number.

151368384147552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151368384147552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254336643550080).

151368384147552 is an abundant number, since it is smaller than the sum of its proper divisors (357304902952608).

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

151368384147552 is a wasteful number, since it uses less digits than its factorization.

151368384147552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24187 (or 24176 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

The spelling of 151368384147552 in words is "one hundred fifty-one trillion, three hundred sixty-eight billion, three hundred eighty-four million, one hundred forty-seven thousand, five hundred fifty-two".