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135420361637 = 11151367222151
BaseRepresentation
bin111111000011110101…
…1101011101110100101
3110221112200022010221112
41332013223223232211
54204320103033022
6142113344154405
712532562036651
oct1760753535645
9427480263845
10135420361637
115248229a050
12222b4008a05
13ca01b53902
1467a9311a61
1537c8b518e2
hex1f87aebba5

135420361637 has 16 divisors (see below), whose sum is σ = 149115531264. Its totient is φ = 121960350000.

The previous prime is 135420361621. The next prime is 135420361667. The reversal of 135420361637 is 736163024531.

It is a cyclic number.

It is not a de Polignac number, because 135420361637 - 24 = 135420361621 is a prime.

It is a super-2 number, since 2×1354203616372 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135420361594 and 135420361603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135420361667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498512 + ... + 720662.

It is an arithmetic number, because the mean of its divisors is an integer number (9319720704).

Almost surely, 2135420361637 is an apocalyptic number.

It is an amenable number.

135420361637 is a deficient number, since it is larger than the sum of its proper divisors (13695169627).

135420361637 is a wasteful number, since it uses less digits than its factorization.

135420361637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222680.

The product of its (nonzero) digits is 272160, while the sum is 41.

The spelling of 135420361637 in words is "one hundred thirty-five billion, four hundred twenty million, three hundred sixty-one thousand, six hundred thirty-seven".

Divisors: 1 11 151 367 1661 4037 55417 222151 609587 2443661 33544801 81529417 368992811 896823587 12310941967 135420361637