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135689725460 = 22536017188369
BaseRepresentation
bin111111001011110111…
…1001110011000010100
3110222020110011020122102
41332113233032120110
54210343032203320
6142200205421232
712542342431142
oct1762757163024
9428213136572
10135689725460
1152600349083
122236a26a818
13ca458b5ca3
1467d2dcc592
1537e260d175
hex1f97bce614

135689725460 has 24 divisors (see below), whose sum is σ = 284957847720. Its totient is φ = 54274095104.

The previous prime is 135689725439. The next prime is 135689725471. The reversal of 135689725460 is 64527986531.

135689725460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33445825924 + 102243899536 = 182882^2 + 319756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135689725396 and 135689725405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626156 + ... + 814524.

It is an arithmetic number, because the mean of its divisors is an integer number (11873243655).

It is a 1-persistent number, because it is pandigital, but 2⋅135689725460 = 271379450920 is not.

Almost surely, 2135689725460 is an apocalyptic number.

135689725460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135689725460 is an abundant number, since it is smaller than the sum of its proper divisors (149268122260).

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

135689725460 is a wasteful number, since it uses less digits than its factorization.

135689725460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224395 (or 224393 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 56.

The spelling of 135689725460 in words is "one hundred thirty-five billion, six hundred eighty-nine million, seven hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 36017 72034 144068 180085 188369 360170 376738 720340 753476 941845 1883690 3767380 6784486273 13568972546 27137945092 33922431365 67844862730 135689725460