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135760014 = 23213619511
BaseRepresentation
bin10000001011110…
…00100010001110
3100110110022201200
420011320202032
5234223310024
621245450330
73235640535
oct1005704216
9313408650
10135760014
116a6a6565
12395709a6
1322184490
141405d31c
15bdba2c9
hex817888e

135760014 has 48 divisors (see below), whose sum is σ = 322000224. Its totient is φ = 41083200.

The previous prime is 135759893. The next prime is 135760021. The reversal of 135760014 is 410067531.

135760014 is a `hidden beast` number, since 1 + 3 + 57 + 600 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135760014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9519 + ... + 19029.

It is an arithmetic number, because the mean of its divisors is an integer number (6708338).

Almost surely, 2135760014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135760014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161000112).

135760014 is an abundant number, since it is smaller than the sum of its proper divisors (186240210).

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

135760014 is a wasteful number, since it uses less digits than its factorization.

135760014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9593 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135760014 is about 11651.6099316790. The cubic root of 135760014 is about 513.9536539639.

The spelling of 135760014 in words is "one hundred thirty-five million, seven hundred sixty thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 4758 7137 9511 14274 19022 28533 57066 85599 123643 171198 247286 370929 580171 741858 1112787 1160342 1740513 2225574 3481026 5221539 7542223 10443078 15084446 22626669 45253338 67880007 135760014