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148821120 = 2732573691
BaseRepresentation
bin10001101111011…
…01010010000000
3101101000220012100
420313231102000
5301044233440
622433430400
73454646550
oct1067552200
9341026170
10148821120
1177007568
1241a0b400
1324aa8446
1415a9d160
15d0ea230
hex8ded480

148821120 has 192 divisors, whose sum is σ = 587471040. Its totient is φ = 34007040.

The previous prime is 148821107. The next prime is 148821121. The reversal of 148821120 is 21128841.

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

It is not an unprimeable number, because it can be changed into a prime (148821121) 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, 38475 + ... + 42165.

It is an arithmetic number, because the mean of its divisors is an integer number (3059745).

Almost surely, 2148821120 is an apocalyptic number.

148821120 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 148821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293735520).

148821120 is an abundant number, since it is smaller than the sum of its proper divisors (438649920).

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

148821120 is a wasteful number, since it uses less digits than its factorization.

148821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 148821120 is about 12199.2262049689. The cubic root of 148821120 is about 529.9336810338.

Adding to 148821120 its reverse (21128841), we get a palindrome (169949961).

The spelling of 148821120 in words is "one hundred forty-eight million, eight hundred twenty-one thousand, one hundred twenty".