147329280 has 540 divisors, whose sum is σ = 634386060. Its totient is φ = 32514048.

The previous prime is 147329209. The next prime is 147329291. The reversal of 147329280 is 82923741.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 82301184 = 8064^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080306 + ... + 5080334.

It is an arithmetic number, because the mean of its divisors is an integer number (1174789).

Almost surely, 2^147329280 is an apocalyptic number.

147329280 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 147329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317193030).

147329280 is an abundant number, since it is smaller than the sum of its proper divisors (487056780).

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

147329280 is an equidigital number, since it uses as much as digits as its factorization.

147329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 147329280 is about 12137.9273354226. The cubic root of 147329280 is about 528.1569781181.

The spelling of 147329280 in words is "one hundred forty-seven million, three hundred twenty-nine thousand, two hundred eighty".