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148281120 = 2532513892
BaseRepresentation
bin10001101011010…
…01011100100000
3101100000110110100
420311221130200
5300424443440
622414102400
73450240321
oct1065513440
9340013410
10148281120
1176778889
12417aaa00
1324949710
141599c448
15d040230
hex8d69720

148281120 has 216 divisors, whose sum is σ = 551124756. Its totient is φ = 36089856.

The previous prime is 148281109. The next prime is 148281143. The reversal of 148281120 is 21182841.

It can be written as a sum of positive squares in 6 ways, for example, as 5143824 + 143137296 = 2268^2 + 11964^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1666036 + ... + 1666124.

Almost surely, 2148281120 is an apocalyptic number.

148281120 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 148281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275562378).

148281120 is an abundant number, since it is smaller than the sum of its proper divisors (402843636).

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

148281120 is a wasteful number, since it uses less digits than its factorization.

148281120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 112 counting only the distinct ones).

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

The square root of 148281120 is about 12177.0735400588. The cubic root of 148281120 is about 529.2919463920.

The spelling of 148281120 in words is "one hundred forty-eight million, two hundred eighty-one thousand, one hundred twenty".