147640800 has 144 divisors (see below), whose sum is σ = 484468992. Its totient is φ = 39052800.

The previous prime is 147640793. The next prime is 147640813. The reversal of 147640800 is 8046741.

147640800 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544665 + ... + 544935.

It is an arithmetic number, because the mean of its divisors is an integer number (3364368).

Almost surely, 2^147640800 is an apocalyptic number.

147640800 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 147640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242234496).

147640800 is an abundant number, since it is smaller than the sum of its proper divisors (336828192).

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

147640800 is a wasteful number, since it uses less digits than its factorization.

147640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 147640800 is about 12150.7530630821. The cubic root of 147640800 is about 528.5289694233.

The spelling of 147640800 in words is "one hundred forty-seven million, six hundred forty thousand, eight hundred".