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134857440 = 25335193153
BaseRepresentation
bin10000000100111…
…00001011100000
3100101202110122000
420002130023200
5234010414230
621214244000
73225161244
oct1002341340
9311673560
10134857440
116a13a433
12391b6600
1321c29703
1413ca6424
15bc8cb60
hex809c2e0

134857440 has 384 divisors, whose sum is σ = 522547200. Its totient is φ = 32348160.

The previous prime is 134857427. The next prime is 134857469. The reversal of 134857440 is 44758431.

134857440 is a `hidden beast` number, since 1 + 3 + 48 + 574 + 40 = 666.

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 = 134857395 and 134857404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2544454 + ... + 2544506.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2134857440 is an apocalyptic number.

134857440 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 134857440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

134857440 is an abundant number, since it is smaller than the sum of its proper divisors (387689760).

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

134857440 is a wasteful number, since it uses less digits than its factorization.

134857440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 134857440 is about 11612.8136125575. The cubic root of 134857440 is about 512.8121469439.

Subtracting from 134857440 its reverse (44758431), we obtain a palindrome (90099009).

The spelling of 134857440 in words is "one hundred thirty-four million, eight hundred fifty-seven thousand, four hundred forty".