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137648421 = 32137111637
BaseRepresentation
bin10000011010001…
…01100100100101
3100121000021010200
420031011210211
5240214222141
621354141113
73260664231
oct1015054445
9317007120
10137648421
1170776329
123a121799
1322695b91
14143d15c1
15c13eab6
hex8345925

137648421 has 12 divisors (see below), whose sum is σ = 200278572. Its totient is φ = 91094976.

The previous prime is 137648417. The next prime is 137648437. The reversal of 137648421 is 124846731.

137648421 is a `hidden beast` number, since 1 + 3 + 7 + 648 + 4 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119115396 + 18533025 = 10914^2 + 4305^2 .

It is not a de Polignac number, because 137648421 - 22 = 137648417 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137648411) 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 11 ways as a sum of consecutive naturals, for example, 54586 + ... + 57051.

It is an arithmetic number, because the mean of its divisors is an integer number (16689881).

Almost surely, 2137648421 is an apocalyptic number.

It is an amenable number.

137648421 is a deficient number, since it is larger than the sum of its proper divisors (62630151).

137648421 is a wasteful number, since it uses less digits than its factorization.

137648421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111780 (or 111777 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 137648421 is about 11732.3663853461. The cubic root of 137648421 is about 516.3257025198.

The spelling of 137648421 in words is "one hundred thirty-seven million, six hundred forty-eight thousand, four hundred twenty-one".

Divisors: 1 3 9 137 411 1233 111637 334911 1004733 15294269 45882807 137648421