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135354973 = 13361609
BaseRepresentation
bin10000001000101…
…01101001011101
3100102200202010011
420010111221131
5234122324343
621233043221
73232332625
oct1004255135
9312622104
10135354973
116a44a216
12393b6511
1322072000
1413d95885
15bd3a29d
hex8115a5d

135354973 has 8 divisors (see below), whose sum is σ = 146631800. Its totient is φ = 124941024.

The previous prime is 135354889. The next prime is 135354997. The reversal of 135354973 is 379453531.

It can be written as a sum of positive squares in 4 ways, for example, as 73307844 + 62047129 = 8562^2 + 7877^2 .

It is not a de Polignac number, because 135354973 - 217 = 135223901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135354073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28608 + ... + 33001.

It is an arithmetic number, because the mean of its divisors is an integer number (18328975).

Almost surely, 2135354973 is an apocalyptic number.

135354973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135354973 is a deficient number, since it is larger than the sum of its proper divisors (11276827).

135354973 is an frugal number, since it uses more digits than its factorization.

135354973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61648 (or 61622 counting only the distinct ones).

The product of its digits is 170100, while the sum is 40.

The square root of 135354973 is about 11634.2156160181. The cubic root of 135354973 is about 513.4420166329.

The spelling of 135354973 in words is "one hundred thirty-five million, three hundred fifty-four thousand, nine hundred seventy-three".

Divisors: 1 13 169 2197 61609 800917 10411921 135354973