147080986920 has 1024 divisors, whose sum is σ = 613632153600. Its totient is φ = 30576476160.

The previous prime is 147080986919. The next prime is 147080986939. The reversal of 147080986920 is 29689080741.

147080986920 is a `hidden beast` number, since 1 + 470 + 8 + 0 + 9 + 86 + 92 + 0 = 666.

147080986920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×147080986920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 572299432 + ... + 572299688.

It is an arithmetic number, because the mean of its divisors is an integer number (599250150).

Almost surely, 2^147080986920 is an apocalyptic number.

147080986920 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 147080986920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306816076800).

147080986920 is an abundant number, since it is smaller than the sum of its proper divisors (466551166680).

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

147080986920 is a wasteful number, since it uses less digits than its factorization.

147080986920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 147080986920 in words is "one hundred forty-seven billion, eighty million, nine hundred eighty-six thousand, nine hundred twenty".