148090800 has 240 divisors, whose sum is σ = 557964288. Its totient is φ = 33100800.

The previous prime is 148090799. The next prime is 148090801. The reversal of 148090800 is 8090841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (148090799) and next prime (148090801).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (148090801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171169 + ... + 172031.

Almost surely, 2^148090800 is an apocalyptic number.

148090800 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 148090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278982144).

148090800 is an abundant number, since it is smaller than the sum of its proper divisors (409873488).

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

148090800 is a wasteful number, since it uses less digits than its factorization.

148090800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 148090800 is about 12169.2563453976. The cubic root of 148090800 is about 529.0653992946.

The spelling of 148090800 in words is "one hundred forty-eight million, ninety thousand, eight hundred".