151452867646080 has 9216 divisors, whose sum is σ = 813307790131200. Its totient is φ = 25383252787200.

The previous prime is 151452867646043. The next prime is 151452867646097. The reversal of 151452867646080 is 80646768254151.

151452867646080 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 5 + 28 + 6 + 76 + 460 + 80 = 666.

It is a super-2 number, since 2×151452867646080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 151452867645999 and 151452867646017.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 546761254902 + ... + 546761255178.

It is an arithmetic number, because the mean of its divisors is an integer number (88249543200).

Almost surely, 2^{151452867646080} is an apocalyptic number.

151452867646080 is a gapful number since it is divisible by the number (10) 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 151452867646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406653895065600).

151452867646080 is an abundant number, since it is smaller than the sum of its proper divisors (661854922485120).

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

151452867646080 is a wasteful number, since it uses less digits than its factorization.

151452867646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 151452867646080 in words is "one hundred fifty-one trillion, four hundred fifty-two billion, eight hundred sixty-seven million, six hundred forty-six thousand, eighty".