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148112640 = 28325132343
BaseRepresentation
bin10001101010000…
…00010100000000
3101022200220100100
420311000110000
5300404101030
622410322400
73445636164
oct1065002400
9338626310
10148112640
1176673245
1241729400
13248bab20
1415956ca4
15d00a360
hex8d40500

148112640 has 432 divisors, whose sum is σ = 589260672. Its totient is φ = 34062336.

The previous prime is 148112633. The next prime is 148112641. The reversal of 148112640 is 46211841.

It is a happy number.

148112640 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 12 + 640 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148112641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3444459 + ... + 3444501.

Almost surely, 2148112640 is an apocalyptic number.

148112640 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 148112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294630336).

148112640 is an abundant number, since it is smaller than the sum of its proper divisors (441148032).

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

148112640 is a wasteful number, since it uses less digits than its factorization.

148112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

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

The square root of 148112640 is about 12170.1536555624. The cubic root of 148112640 is about 529.0914063577.

The spelling of 148112640 in words is "one hundred forty-eight million, one hundred twelve thousand, six hundred forty".