147838800 has 120 divisors (see below), whose sum is σ = 501503616. Its totient is φ = 37099520.

The previous prime is 147838793. The next prime is 147838811. The reversal of 147838800 is 8838741.

147838800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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, 16777 + ... + 24023.

Almost surely, 2^147838800 is an apocalyptic number.

147838800 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 147838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250751808).

147838800 is an abundant number, since it is smaller than the sum of its proper divisors (353664816).

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

147838800 is a wasteful number, since it uses less digits than its factorization.

147838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 147838800 is about 12158.8979763793. The cubic root of 147838800 is about 528.7651326644.

The spelling of 147838800 in words is "one hundred forty-seven million, eight hundred thirty-eight thousand, eight hundred".