Search a number
-
+
137437021 is a prime number
BaseRepresentation
bin10000011000100…
…01111101011101
3100120121112011001
420030101331131
5240140441041
621345430301
73256124011
oct1014217535
9316545131
10137437021
1170641517
123a03b391
13226208a7
1414378541
15c0ec131
hex8311f5d

137437021 has 2 divisors, whose sum is σ = 137437022. Its totient is φ = 137437020.

The previous prime is 137437009. The next prime is 137437031. The reversal of 137437021 is 120734731.

137437021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105288121 + 32148900 = 10261^2 + 5670^2 .

It is a cyclic number.

It is not a de Polignac number, because 137437021 - 225 = 103882589 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137437031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68718510 + 68718511.

It is an arithmetic number, because the mean of its divisors is an integer number (68718511).

Almost surely, 2137437021 is an apocalyptic number.

It is an amenable number.

137437021 is a deficient number, since it is larger than the sum of its proper divisors (1).

137437021 is an equidigital number, since it uses as much as digits as its factorization.

137437021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 137437021 is about 11723.3536584034. The cubic root of 137437021 is about 516.0612433067.

The spelling of 137437021 in words is "one hundred thirty-seven million, four hundred thirty-seven thousand, twenty-one".