151468212142080 has 900 divisors, whose sum is σ = 567674468821152. Its totient is φ = 38634474700800.

The previous prime is 151468212142061. The next prime is 151468212142123. The reversal of 151468212142080 is 80241212864151.

151468212142080 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 6 + 8 + 212 + 1 + 420 + 8 + 0 = 666.

It is a super-2 number, since 2×151468212142080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3510168505 + ... + 3510211655.

Almost surely, 2^{151468212142080} is an apocalyptic number.

151468212142080 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 151468212142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283837234410576).

151468212142080 is an abundant number, since it is smaller than the sum of its proper divisors (416206256679072).

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

151468212142080 is an frugal number, since it uses more digits than its factorization.

151468212142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43242 (or 43184 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 151468212142080 in words is "one hundred fifty-one trillion, four hundred sixty-eight billion, two hundred twelve million, one hundred forty-two thousand, eighty".