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148608000 = 210335343
BaseRepresentation
bin10001101101110…
…01010000000000
3101100122001212000
420312321100000
5301020424000
622425104000
73453101322
oct1066712000
9340561760
10148608000
1176981432
1241928000
1324a32438
1415a45612
15d0a7000
hex8db9400

148608000 has 352 divisors, whose sum is σ = 562024320. Its totient is φ = 38707200.

The previous prime is 148607993. The next prime is 148608001. The reversal of 148608000 is 806841.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148608001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455979 + ... + 3456021.

It is an arithmetic number, because the mean of its divisors is an integer number (1596660).

Almost surely, 2148608000 is an apocalyptic number.

148608000 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 148608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281012160).

148608000 is an abundant number, since it is smaller than the sum of its proper divisors (413416320).

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

148608000 is an equidigital number, since it uses as much as digits as its factorization.

148608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 148608000 is about 12190.4880952323. The cubic root of 148608000 is about 529.6805954931.

The spelling of 148608000 in words is "one hundred forty-eight million, six hundred eight thousand".