148688000 has 64 divisors (see below), whose sum is σ = 369715320. Its totient is φ = 59468800.

The previous prime is 148687969. The next prime is 148688003. The reversal of 148688000 is 886841.

It can be written as a sum of positive squares in 4 ways, for example, as 14684224 + 134003776 = 3832^2 + 11576^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (148688003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11354 + ... + 20646.

Almost surely, 2^148688000 is an apocalyptic number.

148688000 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 148688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184857660).

148688000 is an abundant number, since it is smaller than the sum of its proper divisors (221027320).

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

148688000 is an frugal number, since it uses more digits than its factorization.

148688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9322 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 148688000 is about 12193.7689005492. The cubic root of 148688000 is about 529.7756259224.

The spelling of 148688000 in words is "one hundred forty-eight million, six hundred eighty-eight thousand".