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135440928 = 25327232127
BaseRepresentation
bin10000001001010…
…10101000100000
3100102212010000200
420010222220200
5234133102203
621234545200
73233141340
oct1004525040
9312763020
10135440928
116a4a8857
1239438200
13220a217c
1413db8d20
15bd559a3
hex812aa20

135440928 has 216 divisors, whose sum is σ = 463776768. Its totient is φ = 36723456.

The previous prime is 135440909. The next prime is 135440939. The reversal of 135440928 is 829044531.

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 = 135440892 and 135440901.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1066401 + ... + 1066527.

Almost surely, 2135440928 is an apocalyptic number.

135440928 is a gapful number since it is divisible by the number (18) 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 135440928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231888384).

135440928 is an abundant number, since it is smaller than the sum of its proper divisors (328335840).

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

135440928 is a wasteful number, since it uses less digits than its factorization.

135440928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 135440928 is about 11637.9090905540. The cubic root of 135440928 is about 513.5506780016.

The spelling of 135440928 in words is "one hundred thirty-five million, four hundred forty thousand, nine hundred twenty-eight".