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135462096 = 243271119643
BaseRepresentation
bin10000001001011…
…11110011010000
3100102220012001200
420010233303100
5234134241341
621235231200
73233260140
oct1004576320
9312805050
10135462096
116a512750
1239448500
13220ab9b3
1413dc2920
15bd5bdb6
hex812fcd0

135462096 has 240 divisors, whose sum is σ = 498301440. Its totient is φ = 33281280.

The previous prime is 135462071. The next prime is 135462097. The reversal of 135462096 is 690264531.

It is a happy number.

135462096 is a `hidden beast` number, since 1 + 3 + 546 + 20 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135462096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135462097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210351 + ... + 210993.

It is an arithmetic number, because the mean of its divisors is an integer number (2076256).

Almost surely, 2135462096 is an apocalyptic number.

135462096 is a gapful number since it is divisible by the number (16) 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 135462096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249150720).

135462096 is an abundant number, since it is smaller than the sum of its proper divisors (362839344).

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

135462096 is a wasteful number, since it uses less digits than its factorization.

135462096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 135462096 is about 11638.8184967375. The cubic root of 135462096 is about 513.5774308072.

The spelling of 135462096 in words is "one hundred thirty-five million, four hundred sixty-two thousand, ninety-six".