Search a number
-
+
137149357 is a prime number
BaseRepresentation
bin10000010110010…
…11101110101101
3100120001220112211
420023023232231
5240102234412
621335330421
73253515232
oct1013135655
9316056484
10137149357
1170465384
1239b20a11
132254c987
1414301789
15c091ca7
hex82cbbad

137149357 has 2 divisors, whose sum is σ = 137149358. Its totient is φ = 137149356.

The previous prime is 137149349. The next prime is 137149373. The reversal of 137149357 is 753941731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98783721 + 38365636 = 9939^2 + 6194^2 .

It is a cyclic number.

It is not a de Polignac number, because 137149357 - 23 = 137149349 is a prime.

It is a super-2 number, since 2×1371493572 = 37619892251026898, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137149157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68574678 + 68574679.

It is an arithmetic number, because the mean of its divisors is an integer number (68574679).

Almost surely, 2137149357 is an apocalyptic number.

It is an amenable number.

137149357 is a deficient number, since it is larger than the sum of its proper divisors (1).

137149357 is an equidigital number, since it uses as much as digits as its factorization.

137149357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 79380, while the sum is 40.

The square root of 137149357 is about 11711.0783875781. The cubic root of 137149357 is about 515.7009426779.

The spelling of 137149357 in words is "one hundred thirty-seven million, one hundred forty-nine thousand, three hundred fifty-seven".