148008000 has 224 divisors, whose sum is σ = 559173888. Its totient is φ = 33792000.

The previous prime is 148007989. The next prime is 148008017. The reversal of 148008000 is 800841.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167560 + ... + 168440.

It is an arithmetic number, because the mean of its divisors is an integer number (2496312).

Almost surely, 2^148008000 is an apocalyptic number.

148008000 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 148008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279586944).

148008000 is an abundant number, since it is smaller than the sum of its proper divisors (411165888).

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

148008000 is an equidigital number, since it uses as much as digits as its factorization.

148008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 148008000 is about 12165.8538541280. The cubic root of 148008000 is about 528.9667778589.

Adding to 148008000 its reverse (800841), we get a palindrome (148808841).

The spelling of 148008000 in words is "one hundred forty-eight million, eight thousand".