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134774640 = 2432571121317
BaseRepresentation
bin10000000100001…
…11111101110000
3100101121021001100
420002013331300
5234000242030
621212404400
73224364660
oct1002077560
9311537040
10134774640
116a093200
1239176700
1321bcab10
1413c841a0
15bc73360
hex8087f70

134774640 has 720 divisors, whose sum is σ = 648333504. Its totient is φ = 24330240.

The previous prime is 134774621. The next prime is 134774669. The reversal of 134774640 is 46477431.

It is a happy number.

134774640 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 7 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 134774595 and 134774604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7927912 + ... + 7927928.

Almost surely, 2134774640 is an apocalyptic number.

134774640 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 134774640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324166752).

134774640 is an abundant number, since it is smaller than the sum of its proper divisors (513558864).

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

134774640 is a wasteful number, since it uses less digits than its factorization.

134774640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 134774640 is about 11609.2480376638. The cubic root of 134774640 is about 512.7071730327.

The spelling of 134774640 in words is "one hundred thirty-four million, seven hundred seventy-four thousand, six hundred forty".