147918345120 has 864 divisors, whose sum is σ = 645051423744. Its totient is φ = 30191616000.

The previous prime is 147918345119. The next prime is 147918345137. The reversal of 147918345120 is 21543819741.

147918345120 is a `hidden beast` number, since 1 + 47 + 91 + 8 + 3 + 4 + 512 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 52807720 + ... + 52810520.

It is an arithmetic number, because the mean of its divisors is an integer number (746587296).

Almost surely, 2^147918345120 is an apocalyptic number.

147918345120 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 147918345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322525711872).

147918345120 is an abundant number, since it is smaller than the sum of its proper divisors (497133078624).

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

147918345120 is a wasteful number, since it uses less digits than its factorization.

147918345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 147918345120 in words is "one hundred forty-seven billion, nine hundred eighteen million, three hundred forty-five thousand, one hundred twenty".