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136742625 = 3253197617
BaseRepresentation
bin10000010011010…
…00011011100001
3100112022020121200
420021220123201
5240001231000
621322511413
73250202355
oct1011503341
9315266550
10136742625
1170207838
1239965569
13224397c6
1414237465
15c011500
hex82686e1

136742625 has 48 divisors (see below), whose sum is σ = 248154192. Its totient is φ = 72441600.

The previous prime is 136742621. The next prime is 136742629. The reversal of 136742625 is 526247631.

It is an interprime number because it is at equal distance from previous prime (136742621) and next prime (136742629).

It can be written as a sum of positive squares in 8 ways, for example, as 42497361 + 94245264 = 6519^2 + 9708^2 .

It is not a de Polignac number, because 136742625 - 22 = 136742621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 136742625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136742621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221317 + ... + 221933.

It is an arithmetic number, because the mean of its divisors is an integer number (5169879).

Almost surely, 2136742625 is an apocalyptic number.

136742625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136742625 is a deficient number, since it is larger than the sum of its proper divisors (111411567).

136742625 is a wasteful number, since it uses less digits than its factorization.

136742625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 822 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 136742625 is about 11693.7002270453. The cubic root of 136742625 is about 515.1906479875.

The spelling of 136742625 in words is "one hundred thirty-six million, seven hundred forty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 197 225 375 591 617 985 1125 1773 1851 2955 3085 4925 5553 8865 9255 14775 15425 24625 27765 44325 46275 73875 77125 121549 138825 221625 231375 364647 607745 694125 1093941 1823235 3038725 5469705 9116175 15193625 27348525 45580875 136742625