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135455320 = 2357111317199
BaseRepresentation
bin10000001001011…
…10001001011000
3100102212211202201
420010232021120
5234134032240
621235135544
73233231320
oct1004561130
9312784681
10135455320
116a508650
12394445b4
13220a88a0
1413dc0280
15bd59d9a
hex812e258

135455320 has 256 divisors, whose sum is σ = 435456000. Its totient is φ = 36495360.

The previous prime is 135455293. The next prime is 135455339. The reversal of 135455320 is 23554531.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 680581 + ... + 680779.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2135455320 is an apocalyptic number.

135455320 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 135455320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

135455320 is an abundant number, since it is smaller than the sum of its proper divisors (300000680).

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

135455320 is a wasteful number, since it uses less digits than its factorization.

135455320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 135455320 is about 11638.5273982579. The cubic root of 135455320 is about 513.5688673818.

The spelling of 135455320 in words is "one hundred thirty-five million, four hundred fifty-five thousand, three hundred twenty".