148736000 has 192 divisors, whose sum is σ = 429287040. Its totient is φ = 50380800.

The previous prime is 148735997. The next prime is 148736039. The reversal of 148736000 is 637841.

148736000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791959 + ... + 1792041.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^148736000 is an apocalyptic number.

148736000 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 148736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

148736000 is an abundant number, since it is smaller than the sum of its proper divisors (280551040).

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

148736000 is an frugal number, since it uses more digits than its factorization.

148736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 148736000 is about 12195.7369601021. The cubic root of 148736000 is about 529.8326278193.

The spelling of 148736000 in words is "one hundred forty-eight million, seven hundred thirty-six thousand".