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135437111540 = 2256771855577
BaseRepresentation
bin111111000100010101…
…1100101000011110100
3110221120211211010111022
41332020223211003310
54204333400032130
6142115143200312
712533154311333
oct1761053450364
9427524733438
10135437111540
115249079a545
12222b9746098
13ca054698b3
1467ab631d1a
1537ca35e7e5
hex1f88ae50f4

135437111540 has 12 divisors (see below), whose sum is σ = 284417934276. Its totient is φ = 54174844608.

The previous prime is 135437111533. The next prime is 135437111549. The reversal of 135437111540 is 45111734531.

It can be written as a sum of positive squares in 2 ways, for example, as 24090764944 + 111346346596 = 155212^2 + 333686^2 .

It is a super-2 number, since 2×1354371115402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135437111540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135437111549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3385927769 + ... + 3385927808.

It is an arithmetic number, because the mean of its divisors is an integer number (23701494523).

Almost surely, 2135437111540 is an apocalyptic number.

135437111540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135437111540 is an abundant number, since it is smaller than the sum of its proper divisors (148980822736).

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

135437111540 is a wasteful number, since it uses less digits than its factorization.

135437111540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6771855586 (or 6771855584 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 135437111540 in words is "one hundred thirty-five billion, four hundred thirty-seven million, one hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 6771855577 13543711154 27087422308 33859277885 67718555770 135437111540