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135425920 = 2757193743
BaseRepresentation
bin10000001001001…
…10111110000000
3100102211100102211
420010212332000
5234132112140
621234351504
73233046520
oct1004467600
9312740384
10135425920
116a498553
123942b594
13220983a6
1413db3680
15bd512ea
hex8126f80

135425920 has 256 divisors, whose sum is σ = 409305600. Its totient is φ = 41803776.

The previous prime is 135425881. The next prime is 135425921. The reversal of 135425920 is 29524531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135425921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3149419 + ... + 3149461.

It is an arithmetic number, because the mean of its divisors is an integer number (1598850).

Almost surely, 2135425920 is an apocalyptic number.

135425920 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 135425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204652800).

135425920 is an abundant number, since it is smaller than the sum of its proper divisors (273879680).

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

135425920 is a wasteful number, since it uses less digits than its factorization.

135425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 135425920 is about 11637.2642833271. The cubic root of 135425920 is about 513.5317087152.

The spelling of 135425920 in words is "one hundred thirty-five million, four hundred twenty-five thousand, nine hundred twenty".