148564400 has 60 divisors (see below), whose sum is σ = 368470464. Its totient is φ = 57504000.

The previous prime is 148564399. The next prime is 148564453. The reversal of 148564400 is 4465841.

148564400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6410 + ... + 18390.

Almost surely, 2^148564400 is an apocalyptic number.

148564400 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 148564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184235232).

148564400 is an abundant number, since it is smaller than the sum of its proper divisors (219906064).

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

148564400 is a wasteful number, since it uses less digits than its factorization.

148564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12030 (or 12019 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 148564400 is about 12188.6996845439. The cubic root of 148564400 is about 529.6287895498.

The spelling of 148564400 in words is "one hundred forty-eight million, five hundred sixty-four thousand, four hundred".