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134965440 = 2634541127
BaseRepresentation
bin10000000101101…
…10100011000000
3100101221221210000
420002312203000
5234022343230
621220440000
73226121151
oct1002664300
9311857700
10134965440
116a203595
1239249000
1321c6690c
1413cd3928
15bcaeb60
hex80b68c0

134965440 has 280 divisors, whose sum is σ = 495677952. Its totient is φ = 34836480.

The previous prime is 134965427. The next prime is 134965447. The reversal of 134965440 is 44569431.

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 = 134965395 and 134965404.

It is not an unprimeable number, because it can be changed into a prime (134965447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1062657 + ... + 1062783.

Almost surely, 2134965440 is an apocalyptic number.

134965440 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 134965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247838976).

134965440 is an abundant number, since it is smaller than the sum of its proper divisors (360712512).

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

134965440 is a wasteful number, since it uses less digits than its factorization.

134965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 134965440 is about 11617.4627178227. The cubic root of 134965440 is about 512.9490048827.

The spelling of 134965440 in words is "one hundred thirty-four million, nine hundred sixty-five thousand, four hundred forty".