147140800 has 84 divisors (see below), whose sum is σ = 371054376. Its totient is φ = 57395200.

The previous prime is 147140789. The next prime is 147140801. The reversal of 147140800 is 8041741.

147140800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (147140801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64479 + ... + 66721.

It is an arithmetic number, because the mean of its divisors is an integer number (4417314).

Almost surely, 2^147140800 is an apocalyptic number.

147140800 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 147140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185527188).

147140800 is an abundant number, since it is smaller than the sum of its proper divisors (223913576).

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

147140800 is a wasteful number, since it uses less digits than its factorization.

147140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 147140800 is about 12130.1607573849. The cubic root of 147140800 is about 527.9316562903.

The spelling of 147140800 in words is "one hundred forty-seven million, one hundred forty thousand, eight hundred".