148464000 has 192 divisors, whose sum is σ = 533688480. Its totient is φ = 39552000.

The previous prime is 148463981. The next prime is 148464007. The reversal of 148464000 is 464841.

148464000 is a `hidden beast` number, since 14 + 8 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148464007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143485 + ... + 144515.

Almost surely, 2^148464000 is an apocalyptic number.

148464000 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 148464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266844240).

148464000 is an abundant number, since it is smaller than the sum of its proper divisors (385224480).

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

148464000 is a wasteful number, since it uses less digits than its factorization.

148464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 148464000 is about 12184.5804195303. The cubic root of 148464000 is about 529.5094547395.

The spelling of 148464000 in words is "one hundred forty-eight million, four hundred sixty-four thousand".