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137024429 is a prime number
BaseRepresentation
bin10000010101011…
…01001110101101
3100112211120011212
420022231032231
5240034240204
621332524205
73252455063
oct1012551655
9315746155
10137024429
117038a533
1239a80665
1322507b59
14142ac033
15c069c6e
hex82ad3ad

137024429 has 2 divisors, whose sum is σ = 137024430. Its totient is φ = 137024428.

The previous prime is 137024417. The next prime is 137024441. The reversal of 137024429 is 924420731.

137024429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (137024417) and next prime (137024441).

It can be written as a sum of positive squares in only one way, i.e., 134606404 + 2418025 = 11602^2 + 1555^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137024429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137024395 and 137024404.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137024479) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68512214 + 68512215.

It is an arithmetic number, because the mean of its divisors is an integer number (68512215).

Almost surely, 2137024429 is an apocalyptic number.

It is an amenable number.

137024429 is a deficient number, since it is larger than the sum of its proper divisors (1).

137024429 is an equidigital number, since it uses as much as digits as its factorization.

137024429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 137024429 is about 11705.7434193647. The cubic root of 137024429 is about 515.5443128057.

The spelling of 137024429 in words is "one hundred thirty-seven million, twenty-four thousand, four hundred twenty-nine".