151224190080 has 384 divisors, whose sum is σ = 510481440000. Its totient is φ = 38054707200.

The previous prime is 151224190069. The next prime is 151224190207. The reversal of 151224190080 is 80091422151.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75648921 + ... + 75650919.

It is an arithmetic number, because the mean of its divisors is an integer number (1329378750).

Almost surely, 2^151224190080 is an apocalyptic number.

151224190080 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 151224190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255240720000).

151224190080 is an abundant number, since it is smaller than the sum of its proper divisors (359257249920).

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

151224190080 is a wasteful number, since it uses less digits than its factorization.

151224190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 151224190080 in words is "one hundred fifty-one billion, two hundred twenty-four million, one hundred ninety thousand, eighty".