147988800 has 252 divisors, whose sum is σ = 540471360. Its totient is φ = 38384640.

The previous prime is 147988793. The next prime is 147988807. The reversal of 147988800 is 8889741.

It is an interprime number because it is at equal distance from previous prime (147988793) and next prime (147988807).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147988807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 619081 + ... + 619319.

Almost surely, 2^147988800 is an apocalyptic number.

147988800 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 147988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270235680).

147988800 is an abundant number, since it is smaller than the sum of its proper divisors (392482560).

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

147988800 is a wasteful number, since it uses less digits than its factorization.

147988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 147988800 is about 12165.0647347230. The cubic root of 147988800 is about 528.9439038671.

The spelling of 147988800 in words is "one hundred forty-seven million, nine hundred eighty-eight thousand, eight hundred".