148891600 has 240 divisors, whose sum is σ = 445596480. Its totient is φ = 47001600.

The previous prime is 148891591. The next prime is 148891649. The reversal of 148891600 is 6198841.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 148891600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086732 + ... + 1086868.

It is an arithmetic number, because the mean of its divisors is an integer number (1856652).

Almost surely, 2^148891600 is an apocalyptic number.

148891600 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 148891600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222798240).

148891600 is an abundant number, since it is smaller than the sum of its proper divisors (296704880).

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

148891600 is a wasteful number, since it uses less digits than its factorization.

148891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 148891600 is about 12202.1145708439. The cubic root of 148891600 is about 530.0173246977.

The spelling of 148891600 in words is "one hundred forty-eight million, eight hundred ninety-one thousand, six hundred".