2151336135888 has 320 divisors, whose sum is σ = 6569177760000. Its totient is φ = 671758811136.

The previous prime is 2151336135887. The next prime is 2151336135913. The reversal of 2151336135888 is 8885316331512.

2151336135888 is a `hidden beast` number, since 2 + 1 + 5 + 13 + 3 + 613 + 5 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×2151336135888² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151336135887) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2595097458 + ... + 2595098286.

It is an arithmetic number, because the mean of its divisors is an integer number (20528680500).

Almost surely, 2^{2151336135888} 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 2151336135888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284588880000).

2151336135888 is an abundant number, since it is smaller than the sum of its proper divisors (4417841624112).

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

2151336135888 is a wasteful number, since it uses less digits than its factorization.

2151336135888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2087 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 2151336135888 in words is "two trillion, one hundred fifty-one billion, three hundred thirty-six million, one hundred thirty-five thousand, eight hundred eighty-eight".