148798800 has 90 divisors (see below), whose sum is σ = 516385662. Its totient is φ = 39678720.

The previous prime is 148798781. The next prime is 148798817. The reversal of 148798800 is 8897841.

148798800 is a `hidden beast` number, since 1 + 487 + 98 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 38044224 + 110754576 = 6168^2 + 10524^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17067 + ... + 24266.

Almost surely, 2^148798800 is an apocalyptic number.

148798800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148798800 is an abundant number, since it is smaller than the sum of its proper divisors (367586862).

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

148798800 is a wasteful number, since it uses less digits than its factorization.

148798800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41357 (or 41343 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 148798800 is about 12198.3113585447. The cubic root of 148798800 is about 529.9071867854.

The spelling of 148798800 in words is "one hundred forty-eight million, seven hundred ninety-eight thousand, eight hundred".