148354800 has 120 divisors (see below), whose sum is σ = 518478720. Its totient is φ = 35961600.

The previous prime is 148354799. The next prime is 148354813. The reversal of 148354800 is 8453841.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7581 + ... + 18819.

It is an arithmetic number, because the mean of its divisors is an integer number (4320656).

Almost surely, 2^148354800 is an apocalyptic number.

148354800 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 148354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259239360).

148354800 is an abundant number, since it is smaller than the sum of its proper divisors (370123920).

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

148354800 is a wasteful number, since it uses less digits than its factorization.

148354800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11271 (or 11260 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 148354800 is about 12180.0985217690. The cubic root of 148354800 is about 529.3795992077.

The spelling of 148354800 in words is "one hundred forty-eight million, three hundred fifty-four thousand, eight hundred".