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135420037 = 3773181277
BaseRepresentation
bin10000001001001…
…01100010000101
3100102211001100221
420010211202011
5234131420122
621234304341
73233023414
oct1004454205
9312731327
10135420037
116a494095
12394280b1
13220957cc
1413db147b
15bd4e6c7
hex8125885

135420037 has 16 divisors (see below), whose sum is σ = 142275952. Its totient is φ = 128770560.

The previous prime is 135420031. The next prime is 135420041. The reversal of 135420037 is 730024531.

It can be written as a sum of positive squares in 8 ways, for example, as 8767521 + 126652516 = 2961^2 + 11254^2 .

It is a cyclic number.

It is not a de Polignac number, because 135420037 - 219 = 134895749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135419993 and 135420020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135420031) 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, 488743 + ... + 489019.

It is an arithmetic number, because the mean of its divisors is an integer number (8892247).

Almost surely, 2135420037 is an apocalyptic number.

It is an amenable number.

135420037 is a deficient number, since it is larger than the sum of its proper divisors (6855915).

135420037 is a wasteful number, since it uses less digits than its factorization.

135420037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 135420037 is about 11637.0115149896. The cubic root of 135420037 is about 513.5242725444.

Adding to 135420037 its reverse (730024531), we get a palindrome (865444568).

The spelling of 135420037 in words is "one hundred thirty-five million, four hundred twenty thousand, thirty-seven".

Divisors: 1 37 73 181 277 2701 6697 10249 13213 20221 50137 488881 748177 1855069 3660001 135420037