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148716000 = 25375317
BaseRepresentation
bin10001101110100…
…11100111100000
3101100211120000000
420313103213200
5301032403000
622431300000
73454031226
oct1067234740
9340746000
10148716000
1176a45594
124197a600
1324a6c644
1415a72b16
15d0c9000
hex8dd39e0

148716000 has 384 divisors, whose sum is σ = 580245120. Its totient is φ = 37324800.

The previous prime is 148715989. The next prime is 148716011. The reversal of 148716000 is 617841.

It is a happy number.

148716000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148715989) and next prime (148716011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8747992 + ... + 8748008.

It is an arithmetic number, because the mean of its divisors is an integer number (1511055).

Almost surely, 2148716000 is an apocalyptic number.

148716000 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 148716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290122560).

148716000 is an abundant number, since it is smaller than the sum of its proper divisors (431529120).

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

148716000 is an frugal number, since it uses more digits than its factorization.

148716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 148716000 is about 12194.9169738871. The cubic root of 148716000 is about 529.8088785195.

The spelling of 148716000 in words is "one hundred forty-eight million, seven hundred sixteen thousand".