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148145760 = 2534572371
BaseRepresentation
bin10001101010010…
…00011001100000
3101022202120210000
420311020121200
5300411131020
622411140000
73446134560
oct1065103140
9338676700
10148145760
1176696114
1241744600
13248ccc19
1415964da0
15d015090
hex8d48660

148145760 has 480 divisors, whose sum is σ = 632282112. Its totient is φ = 31933440.

The previous prime is 148145741. The next prime is 148145771. The reversal of 148145760 is 67541841.

It is a happy number.

148145760 is a `hidden beast` number, since 1 + 4 + 81 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 2086525 + ... + 2086595.

Almost surely, 2148145760 is an apocalyptic number.

148145760 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 148145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316141056).

148145760 is an abundant number, since it is smaller than the sum of its proper divisors (484136352).

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

148145760 is a wasteful number, since it uses less digits than its factorization.

148145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 148145760 is about 12171.5142854125. The cubic root of 148145760 is about 529.1308407625.

The spelling of 148145760 in words is "one hundred forty-eight million, one hundred forty-five thousand, seven hundred sixty".