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137333407 is a prime number
BaseRepresentation
bin10000010111110…
…00101010011111
3100120102021000111
420023320222133
5240124132112
621343310451
73255212641
oct1013705237
9316367014
10137333407
1170580692
1239bab427
13225b5693
141434c891
15c0cb5a7
hex82f8a9f

137333407 has 2 divisors, whose sum is σ = 137333408. Its totient is φ = 137333406.

The previous prime is 137333369. The next prime is 137333431. The reversal of 137333407 is 704333731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137333407 - 223 = 128944799 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137333467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68666703 + 68666704.

It is an arithmetic number, because the mean of its divisors is an integer number (68666704).

Almost surely, 2137333407 is an apocalyptic number.

137333407 is a deficient number, since it is larger than the sum of its proper divisors (1).

137333407 is an equidigital number, since it uses as much as digits as its factorization.

137333407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 31.

The square root of 137333407 is about 11718.9336972269. The cubic root of 137333407 is about 515.9315242246.

The spelling of 137333407 in words is "one hundred thirty-seven million, three hundred thirty-three thousand, four hundred seven".