148291200 has 288 divisors, whose sum is σ = 559041600. Its totient is φ = 37324800.

The previous prime is 148291141. The next prime is 148291201. The reversal of 148291200 is 2192841.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (148291201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 547065 + ... + 547335.

Almost surely, 2^148291200 is an apocalyptic number.

148291200 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 148291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279520800).

148291200 is an abundant number, since it is smaller than the sum of its proper divisors (410750400).

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

148291200 is a wasteful number, since it uses less digits than its factorization.

148291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 148291200 is about 12177.4874255735. The cubic root of 148291200 is about 529.3039396966.

The spelling of 148291200 in words is "one hundred forty-eight million, two hundred ninety-one thousand, two hundred".