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135640442125 = 532953706001
BaseRepresentation
bin111111001010011001…
…1001110010100001101
3110222010000102101121201
41332110303032110031
54210242423122000
6142151245225501
712541203510016
oct1762463162415
9428100371551
10135640442125
1152585547851
1222355862291
13ca3861bb56
1467ca64000d
1537dd12596a
hex1f94cce50d

135640442125 has 32 divisors (see below), whose sum is σ = 178420825440. Its totient is φ = 102793600000.

The previous prime is 135640442117. The next prime is 135640442131. The reversal of 135640442125 is 521244046531.

It can be written as a sum of positive squares in 16 ways, for example, as 68926201444 + 66714240681 = 262538^2 + 258291^2 .

It is not a de Polignac number, because 135640442125 - 23 = 135640442117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160876 + ... + 545125.

It is an arithmetic number, because the mean of its divisors is an integer number (5575650795).

Almost surely, 2135640442125 is an apocalyptic number.

It is an amenable number.

135640442125 is a deficient number, since it is larger than the sum of its proper divisors (42780383315).

135640442125 is an equidigital number, since it uses as much as digits as its factorization.

135640442125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706098 (or 706088 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 135640442125 its reverse (521244046531), we get a palindrome (656884488656).

The spelling of 135640442125 in words is "one hundred thirty-five billion, six hundred forty million, four hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 5 25 29 53 125 145 265 725 1325 1537 3625 6625 7685 38425 192125 706001 3530005 17650025 20474029 37418053 88250125 102370145 187090265 511850725 935451325 1085123537 2559253625 4677256625 5425617685 27128088425 135640442125