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137042741 = 11471391907
BaseRepresentation
bin10000010101100…
…01101100110101
3100112212111022002
420022301230311
5240040331431
621333145045
73252562343
oct1012615465
9315774262
10137042741
11703a2270
1239a8b185
13225132a4
14142b4993
15c0703cb
hex82b1b35

137042741 has 16 divisors (see below), whose sum is σ = 153861120. Its totient is φ = 120992880.

The previous prime is 137042713. The next prime is 137042747. The reversal of 137042741 is 147240731.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137042741 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 (137042747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70910 + ... + 72816.

It is an arithmetic number, because the mean of its divisors is an integer number (9616320).

Almost surely, 2137042741 is an apocalyptic number.

137042741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137042741 is a deficient number, since it is larger than the sum of its proper divisors (16818379).

137042741 is a wasteful number, since it uses less digits than its factorization.

137042741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104.

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 137042741 is about 11706.5255733715. The cubic root of 137042741 is about 515.5672776327.

The spelling of 137042741 in words is "one hundred thirty-seven million, forty-two thousand, seven hundred forty-one".

Divisors: 1 11 47 139 517 1529 1907 6533 20977 71863 89629 265073 985919 2915803 12458431 137042741