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135210384 = 2434172192
BaseRepresentation
bin10000000111100…
…10010110010000
3100102102101210000
420003302112100
5234103213014
621230010000
73231161241
oct1003622620
9312371700
10135210384
116a360621
1239346900
132202125a
1413d58cc8
15bd0c509
hex80f2590

135210384 has 225 divisors, whose sum is σ = 438743217. Its totient is φ = 40186368.

The previous prime is 135210379. The next prime is 135210391. The reversal of 135210384 is 483012531.

135210384 = 13 + 23 + ... + 1523.

It is a happy number.

The square root of 135210384 is 11628.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 105267600 + 29942784 = 10260^2 + 5472^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7116327 + ... + 7116345.

Almost surely, 2135210384 is an apocalyptic number.

135210384 is the 11628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135210384

135210384 is an abundant number, since it is smaller than the sum of its proper divisors (303532833).

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

135210384 is a wasteful number, since it uses less digits than its factorization.

135210384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 135210384 is about 513.2591283454.

The spelling of 135210384 in words is "one hundred thirty-five million, two hundred ten thousand, three hundred eighty-four".