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148313088 = 21032711219
BaseRepresentation
bin10001101011100…
…01010000000000
3101100002002022100
420311301100000
5300432004323
622414510400
73450432450
oct1065612000
9340062270
10148313088
117679a900
1241805400
132495b131
14159a9d60
15d049943
hex8d71400

148313088 has 396 divisors, whose sum is σ = 566282080. Its totient is φ = 36495360.

The previous prime is 148313051. The next prime is 148313119. The reversal of 148313088 is 880313841.

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 7805943 + ... + 7805961.

Almost surely, 2148313088 is an apocalyptic number.

148313088 is a gapful number since it is divisible by the number (18) 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 148313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283141040).

148313088 is an abundant number, since it is smaller than the sum of its proper divisors (417968992).

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

148313088 is a wasteful number, since it uses less digits than its factorization.

148313088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 148313088 is about 12178.3860999724. The cubic root of 148313088 is about 529.3299804297.

It can be divided in two parts, 148 and 313088, that added together give a triangular number (313236 = T791).

The spelling of 148313088 in words is "one hundred forty-eight million, three hundred thirteen thousand, eighty-eight".