148864400 has 60 divisors (see below), whose sum is σ = 363569364. Its totient is φ = 58560000.

The previous prime is 148864381. The next prime is 148864403. The reversal of 148864400 is 4468841.

It is a Cunningham number, because it is equal to 12201²-1.

It can be written as a sum of positive squares in 6 ways, for example, as 20178064 + 128686336 = 4492^2 + 11344^2 .

It is not an unprimeable number, because it can be changed into a prime (148864403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21350 + ... + 27450.

Almost surely, 2^148864400 is an apocalyptic number.

148864400 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 148864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181784682).

148864400 is an abundant number, since it is smaller than the sum of its proper divisors (214704964).

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

148864400 is a wasteful number, since it uses less digits than its factorization.

148864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6180 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 148864400 is about 12200.9999590198. Note that the first 4 decimals coincide. The cubic root of 148864400 is about 529.9850476380.

The spelling of 148864400 in words is "one hundred forty-eight million, eight hundred sixty-four thousand, four hundred".