148492800 has 180 divisors, whose sum is σ = 531827010. Its totient is φ = 39567360.

The previous prime is 148492777. The next prime is 148492819. The reversal of 148492800 is 8294841.

It can be written as a sum of positive squares in 3 ways, for example, as 129413376 + 19079424 = 11376^2 + 4368^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×148492800² = 44100223303680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 114556 + ... + 115844.

Almost surely, 2^148492800 is an apocalyptic number.

148492800 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 148492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265913505).

148492800 is an abundant number, since it is smaller than the sum of its proper divisors (383334210).

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

148492800 is a wasteful number, since it uses less digits than its factorization.

148492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 148492800 is about 12185.7621837947. The cubic root of 148492800 is about 529.5436917404.

The spelling of 148492800 in words is "one hundred forty-eight million, four hundred ninety-two thousand, eight hundred".