151872432480 has 288 divisors, whose sum is σ = 547581565440. Its totient is φ = 38224327680.

The previous prime is 151872432463. The next prime is 151872432493. The reversal of 151872432480 is 84234278151.

151872432480 is a `hidden beast` number, since 1 + 51 + 87 + 2 + 43 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7404319 + ... + 7424801.

It is an arithmetic number, because the mean of its divisors is an integer number (1901324880).

Almost surely, 2^151872432480 is an apocalyptic number.

151872432480 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 151872432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273790782720).

151872432480 is an abundant number, since it is smaller than the sum of its proper divisors (395709132960).

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

151872432480 is a wasteful number, since it uses less digits than its factorization.

151872432480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20794 (or 20783 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 151872432480 in words is "one hundred fifty-one billion, eight hundred seventy-two million, four hundred thirty-two thousand, four hundred eighty".