147130880 has 80 divisors (see below), whose sum is σ = 379991304. Its totient is φ = 54312960.

The previous prime is 147130877. The next prime is 147130913. The reversal of 147130880 is 88031741.

147130880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 115949824 + 31181056 = 10768^2 + 5584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31070 + ... + 35490.

Almost surely, 2^147130880 is an apocalyptic number.

147130880 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 147130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189995652).

147130880 is an abundant number, since it is smaller than the sum of its proper divisors (232860424).

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

147130880 is an equidigital number, since it uses as much as digits as its factorization.

147130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 147130880 is about 12129.7518523670. The cubic root of 147130880 is about 527.9197919179.

The spelling of 147130880 in words is "one hundred forty-seven million, one hundred thirty thousand, eight hundred eighty".