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148140720 = 2432572131719
BaseRepresentation
bin10001101010001…
…11001010110000
3101022202022212100
420311013022300
5300411000340
622411100400
73446114100
oct1065071260
9338668770
10148140720
1176692352
1241741700
13248ca840
1415963200
15d013830
hex8d472b0

148140720 has 720 divisors, whose sum is σ = 694643040. Its totient is φ = 27869184.

The previous prime is 148140659. The next prime is 148140731. The reversal of 148140720 is 27041841.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7796871 + ... + 7796889.

It is an arithmetic number, because the mean of its divisors is an integer number (964782).

Almost surely, 2148140720 is an apocalyptic number.

148140720 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 148140720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347321520).

148140720 is an abundant number, since it is smaller than the sum of its proper divisors (546502320).

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

148140720 is a wasteful number, since it uses less digits than its factorization.

148140720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 148140720 is about 12171.3072428560. The cubic root of 148140720 is about 529.1248402540.

The spelling of 148140720 in words is "one hundred forty-eight million, one hundred forty thousand, seven hundred twenty".